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Finding the Fourth Proportional to 23,727.88, 32,740.98 and 13,519

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Solution

The fourth proportional to 23,727.88, 32,740.98 and 13,519 is: 18,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,727.88 : 32,740.98 = 13,519 : x
  2. Step 2: Convert to fraction form
    23,727.88/32,740.98 = 13,519/x
  3. Step 3: Cross multiply
    23,727.88x = 32,740.98 × 13,519
  4. Step 4: Simplify right side
    23,727.88x = 442,625,308.62
  5. Step 5: Solve for x
    x = 442,625,308.62/23,727.88
  6. Step 6: Final answer
    x = 18,654.23

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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.