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Finding the Fourth Proportional to 16,019.28, 24,013.80 and 7,704

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Solution

The fourth proportional to 16,019.28, 24,013.80 and 7,704 is: 11,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.28 : 24,013.80 = 7,704 : x
  2. Step 2: Convert to fraction form
    16,019.28/24,013.80 = 7,704/x
  3. Step 3: Cross multiply
    16,019.28x = 24,013.80 × 7,704
  4. Step 4: Simplify right side
    16,019.28x = 185,002,315.20
  5. Step 5: Solve for x
    x = 185,002,315.20/16,019.28
  6. Step 6: Final answer
    x = 11,548.73

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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.