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Finding the Fourth Proportional to 17,641.62, 24,345.36 and 9,684

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Solution

The fourth proportional to 17,641.62, 24,345.36 and 9,684 is: 13,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.62 : 24,345.36 = 9,684 : x
  2. Step 2: Convert to fraction form
    17,641.62/24,345.36 = 9,684/x
  3. Step 3: Cross multiply
    17,641.62x = 24,345.36 × 9,684
  4. Step 4: Simplify right side
    17,641.62x = 235,760,466.24
  5. Step 5: Solve for x
    x = 235,760,466.24/17,641.62
  6. Step 6: Final answer
    x = 13,363.88

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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.