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Finding the Fourth Proportional to 17,685.69, 24,406.92 and 9,728.61

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Solution

The fourth proportional to 17,685.69, 24,406.92 and 9,728.61 is: 13,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.69 : 24,406.92 = 9,728.61 : x
  2. Step 2: Convert to fraction form
    17,685.69/24,406.92 = 9,728.61/x
  3. Step 3: Cross multiply
    17,685.69x = 24,406.92 × 9,728.61
  4. Step 4: Simplify right side
    17,685.69x = 237,445,405.98
  5. Step 5: Solve for x
    x = 237,445,405.98/17,685.69
  6. Step 6: Final answer
    x = 13,425.85

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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.