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Finding the Fourth Proportional to 12,539.64, 17,265.24 and 9,545.88

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Solution

The fourth proportional to 12,539.64, 17,265.24 and 9,545.88 is: 13,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,539.64 : 17,265.24 = 9,545.88 : x
  2. Step 2: Convert to fraction form
    12,539.64/17,265.24 = 9,545.88/x
  3. Step 3: Cross multiply
    12,539.64x = 17,265.24 × 9,545.88
  4. Step 4: Simplify right side
    12,539.64x = 164,811,909.21
  5. Step 5: Solve for x
    x = 164,811,909.21/12,539.64
  6. Step 6: Final answer
    x = 13,143.27

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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.