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Finding the Fourth Proportional to 22,897,418.46, 31,599,195.03 and 12,584,507.10

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Solution

The fourth proportional to 22,897,418.46, 31,599,195.03 and 12,584,507.10 is: 17,367,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897,418.46 : 31,599,195.03 = 12,584,507.10 : x
  2. Step 2: Convert to fraction form
    22,897,418.46/31,599,195.03 = 12,584,507.10/x
  3. Step 3: Cross multiply
    22,897,418.46x = 31,599,195.03 × 12,584,507.10
  4. Step 4: Simplify right side
    22,897,418.46x = 397,660,294,209,319.69
  5. Step 5: Solve for x
    x = 397,660,294,209,319.69/22,897,418.46
  6. Step 6: Final answer
    x = 17,367,036.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.