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Finding the Fourth Proportional to 12,987.20, 17,909.28 and 7,682.24

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Solution

The fourth proportional to 12,987.20, 17,909.28 and 7,682.24 is: 10,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.20 : 17,909.28 = 7,682.24 : x
  2. Step 2: Convert to fraction form
    12,987.20/17,909.28 = 7,682.24/x
  3. Step 3: Cross multiply
    12,987.20x = 17,909.28 × 7,682.24
  4. Step 4: Simplify right side
    12,987.20x = 137,583,387.19
  5. Step 5: Solve for x
    x = 137,583,387.19/12,987.20
  6. Step 6: Final answer
    x = 10,593.77

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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.