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Finding the Fourth Proportional to 21,414.62, 29,565.58 and 13,760.99

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Solution

The fourth proportional to 21,414.62, 29,565.58 and 13,760.99 is: 18,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.62 : 29,565.58 = 13,760.99 : x
  2. Step 2: Convert to fraction form
    21,414.62/29,565.58 = 13,760.99/x
  3. Step 3: Cross multiply
    21,414.62x = 29,565.58 × 13,760.99
  4. Step 4: Simplify right side
    21,414.62x = 406,851,771.47
  5. Step 5: Solve for x
    x = 406,851,771.47/21,414.62
  6. Step 6: Final answer
    x = 18,998.78

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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.