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Finding the Fourth Proportional to 17,916.62, 24,725.85 and 9,959

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Solution

The fourth proportional to 17,916.62, 24,725.85 and 9,959 is: 13,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,916.62 : 24,725.85 = 9,959 : x
  2. Step 2: Convert to fraction form
    17,916.62/24,725.85 = 9,959/x
  3. Step 3: Cross multiply
    17,916.62x = 24,725.85 × 9,959
  4. Step 4: Simplify right side
    17,916.62x = 246,244,740.15
  5. Step 5: Solve for x
    x = 246,244,740.15/17,916.62
  6. Step 6: Final answer
    x = 13,743.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.