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Finding the Fourth Proportional to 16,098, 24,131.88 and 5,704.08

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Solution

The fourth proportional to 16,098, 24,131.88 and 5,704.08 is: 8,550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098 : 24,131.88 = 5,704.08 : x
  2. Step 2: Convert to fraction form
    16,098/24,131.88 = 5,704.08/x
  3. Step 3: Cross multiply
    16,098x = 24,131.88 × 5,704.08
  4. Step 4: Simplify right side
    16,098x = 137,650,174.07
  5. Step 5: Solve for x
    x = 137,650,174.07/16,098
  6. Step 6: Final answer
    x = 8,550.76

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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.