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Finding the Fourth Proportional to 36,008.86, 54,022 and 13,519.74

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Solution

The fourth proportional to 36,008.86, 54,022 and 13,519.74 is: 20,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,008.86 : 54,022 = 13,519.74 : x
  2. Step 2: Convert to fraction form
    36,008.86/54,022 = 13,519.74/x
  3. Step 3: Cross multiply
    36,008.86x = 54,022 × 13,519.74
  4. Step 4: Simplify right side
    36,008.86x = 730,363,394.28
  5. Step 5: Solve for x
    x = 730,363,394.28/36,008.86
  6. Step 6: Final answer
    x = 20,282.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.