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Finding the Fourth Proportional to 17,585.47, 24,267.78 and 9,627.62

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Solution

The fourth proportional to 17,585.47, 24,267.78 and 9,627.62 is: 13,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.47 : 24,267.78 = 9,627.62 : x
  2. Step 2: Convert to fraction form
    17,585.47/24,267.78 = 9,627.62/x
  3. Step 3: Cross multiply
    17,585.47x = 24,267.78 × 9,627.62
  4. Step 4: Simplify right side
    17,585.47x = 233,640,964.08
  5. Step 5: Solve for x
    x = 233,640,964.08/17,585.47
  6. Step 6: Final answer
    x = 13,286.03

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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.