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Finding the Fourth Proportional to 24,931.20, 37,397.28 and 7,402.24

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Solution

The fourth proportional to 24,931.20, 37,397.28 and 7,402.24 is: 11,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,931.20 : 37,397.28 = 7,402.24 : x
  2. Step 2: Convert to fraction form
    24,931.20/37,397.28 = 7,402.24/x
  3. Step 3: Cross multiply
    24,931.20x = 37,397.28 × 7,402.24
  4. Step 4: Simplify right side
    24,931.20x = 276,823,641.91
  5. Step 5: Solve for x
    x = 276,823,641.91/24,931.20
  6. Step 6: Final answer
    x = 11,103.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.