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Finding the Fourth Proportional to 22,503.38, 31,054.29 and 12,432.24

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Solution

The fourth proportional to 22,503.38, 31,054.29 and 12,432.24 is: 17,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,503.38 : 31,054.29 = 12,432.24 : x
  2. Step 2: Convert to fraction form
    22,503.38/31,054.29 = 12,432.24/x
  3. Step 3: Cross multiply
    22,503.38x = 31,054.29 × 12,432.24
  4. Step 4: Simplify right side
    22,503.38x = 386,074,400.86
  5. Step 5: Solve for x
    x = 386,074,400.86/22,503.38
  6. Step 6: Final answer
    x = 17,156.29

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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.