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Finding the Fourth Proportional to 17,657.75, 24,367.59 and 9,591.32

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Solution

The fourth proportional to 17,657.75, 24,367.59 and 9,591.32 is: 13,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.75 : 24,367.59 = 9,591.32 : x
  2. Step 2: Convert to fraction form
    17,657.75/24,367.59 = 9,591.32/x
  3. Step 3: Cross multiply
    17,657.75x = 24,367.59 × 9,591.32
  4. Step 4: Simplify right side
    17,657.75x = 233,717,414.24
  5. Step 5: Solve for x
    x = 233,717,414.24/17,657.75
  6. Step 6: Final answer
    x = 13,235.97

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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.