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Finding the Fourth Proportional to 16,115.64, 24,178.58 and 10,229.19

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Solution

The fourth proportional to 16,115.64, 24,178.58 and 10,229.19 is: 15,347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,115.64 : 24,178.58 = 10,229.19 : x
  2. Step 2: Convert to fraction form
    16,115.64/24,178.58 = 10,229.19/x
  3. Step 3: Cross multiply
    16,115.64x = 24,178.58 × 10,229.19
  4. Step 4: Simplify right side
    16,115.64x = 247,327,288.75
  5. Step 5: Solve for x
    x = 247,327,288.75/16,115.64
  6. Step 6: Final answer
    x = 15,347.03

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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.