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Finding the Fourth Proportional to 15,916.44, 23,874.46 and 9,678.16

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Solution

The fourth proportional to 15,916.44, 23,874.46 and 9,678.16 is: 14,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.44 : 23,874.46 = 9,678.16 : x
  2. Step 2: Convert to fraction form
    15,916.44/23,874.46 = 9,678.16/x
  3. Step 3: Cross multiply
    15,916.44x = 23,874.46 × 9,678.16
  4. Step 4: Simplify right side
    15,916.44x = 231,060,759.91
  5. Step 5: Solve for x
    x = 231,060,759.91/15,916.44
  6. Step 6: Final answer
    x = 14,517.11

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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.