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Finding the Fourth Proportional to 22,504.76, 31,058.38 and 12,434.07

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Solution

The fourth proportional to 22,504.76, 31,058.38 and 12,434.07 is: 17,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.76 : 31,058.38 = 12,434.07 : x
  2. Step 2: Convert to fraction form
    22,504.76/31,058.38 = 12,434.07/x
  3. Step 3: Cross multiply
    22,504.76x = 31,058.38 × 12,434.07
  4. Step 4: Simplify right side
    22,504.76x = 386,182,071.01
  5. Step 5: Solve for x
    x = 386,182,071.01/22,504.76
  6. Step 6: Final answer
    x = 17,160.02

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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.