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Finding the Fourth Proportional to 25,934.57, 38,901.88 and 7,214.61

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Solution

The fourth proportional to 25,934.57, 38,901.88 and 7,214.61 is: 10,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,934.57 : 38,901.88 = 7,214.61 : x
  2. Step 2: Convert to fraction form
    25,934.57/38,901.88 = 7,214.61/x
  3. Step 3: Cross multiply
    25,934.57x = 38,901.88 × 7,214.61
  4. Step 4: Simplify right side
    25,934.57x = 280,661,892.47
  5. Step 5: Solve for x
    x = 280,661,892.47/25,934.57
  6. Step 6: Final answer
    x = 10,821.92

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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.