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Finding the Fourth Proportional to 16,054.38, 24,044.85 and 13,509.90

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Solution

The fourth proportional to 16,054.38, 24,044.85 and 13,509.90 is: 20,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.38 : 24,044.85 = 13,509.90 : x
  2. Step 2: Convert to fraction form
    16,054.38/24,044.85 = 13,509.90/x
  3. Step 3: Cross multiply
    16,054.38x = 24,044.85 × 13,509.90
  4. Step 4: Simplify right side
    16,054.38x = 324,843,519.02
  5. Step 5: Solve for x
    x = 324,843,519.02/16,054.38
  6. Step 6: Final answer
    x = 20,233.95

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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.