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Finding the Fourth Proportional to 17,543.62, 24,209.80 and 9,585.88

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Solution

The fourth proportional to 17,543.62, 24,209.80 and 9,585.88 is: 13,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,543.62 : 24,209.80 = 9,585.88 : x
  2. Step 2: Convert to fraction form
    17,543.62/24,209.80 = 9,585.88/x
  3. Step 3: Cross multiply
    17,543.62x = 24,209.80 × 9,585.88
  4. Step 4: Simplify right side
    17,543.62x = 232,072,237.62
  5. Step 5: Solve for x
    x = 232,072,237.62/17,543.62
  6. Step 6: Final answer
    x = 13,228.30

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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.