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Finding the Fourth Proportional to 24,934.65, 37,409 and 10,154.17

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Solution

The fourth proportional to 24,934.65, 37,409 and 10,154.17 is: 15,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,934.65 : 37,409 = 10,154.17 : x
  2. Step 2: Convert to fraction form
    24,934.65/37,409 = 10,154.17/x
  3. Step 3: Cross multiply
    24,934.65x = 37,409 × 10,154.17
  4. Step 4: Simplify right side
    24,934.65x = 379,857,345.53
  5. Step 5: Solve for x
    x = 379,857,345.53/24,934.65
  6. Step 6: Final answer
    x = 15,234.12

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