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Finding the Fourth Proportional to 22,485.39, 31,029.40 and 12,414.14

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Solution

The fourth proportional to 22,485.39, 31,029.40 and 12,414.14 is: 17,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,485.39 : 31,029.40 = 12,414.14 : x
  2. Step 2: Convert to fraction form
    22,485.39/31,029.40 = 12,414.14/x
  3. Step 3: Cross multiply
    22,485.39x = 31,029.40 × 12,414.14
  4. Step 4: Simplify right side
    22,485.39x = 385,203,315.72
  5. Step 5: Solve for x
    x = 385,203,315.72/22,485.39
  6. Step 6: Final answer
    x = 17,131.27

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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.