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Finding the Fourth Proportional to 24,934.50, 37,411.07 and 10,147.14

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Solution

The fourth proportional to 24,934.50, 37,411.07 and 10,147.14 is: 15,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,934.50 : 37,411.07 = 10,147.14 : x
  2. Step 2: Convert to fraction form
    24,934.50/37,411.07 = 10,147.14/x
  3. Step 3: Cross multiply
    24,934.50x = 37,411.07 × 10,147.14
  4. Step 4: Simplify right side
    24,934.50x = 379,615,314.10
  5. Step 5: Solve for x
    x = 379,615,314.10/24,934.50
  6. Step 6: Final answer
    x = 15,224.50

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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.