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Finding the Fourth Proportional to 25,814.17, 38,718.24 and 8,046.15

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Solution

The fourth proportional to 25,814.17, 38,718.24 and 8,046.15 is: 12,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814.17 : 38,718.24 = 8,046.15 : x
  2. Step 2: Convert to fraction form
    25,814.17/38,718.24 = 8,046.15/x
  3. Step 3: Cross multiply
    25,814.17x = 38,718.24 × 8,046.15
  4. Step 4: Simplify right side
    25,814.17x = 311,532,766.78
  5. Step 5: Solve for x
    x = 311,532,766.78/25,814.17
  6. Step 6: Final answer
    x = 12,068.29

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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.