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Finding the Fourth Proportional to 17,539.62, 24,204.72 and 9,582

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Solution

The fourth proportional to 17,539.62, 24,204.72 and 9,582 is: 13,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,539.62 : 24,204.72 = 9,582 : x
  2. Step 2: Convert to fraction form
    17,539.62/24,204.72 = 9,582/x
  3. Step 3: Cross multiply
    17,539.62x = 24,204.72 × 9,582
  4. Step 4: Simplify right side
    17,539.62x = 231,929,627.04
  5. Step 5: Solve for x
    x = 231,929,627.04/17,539.62
  6. Step 6: Final answer
    x = 13,223.18

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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.