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Finding the Fourth Proportional to 16,134.98, 24,217.86 and 9,907.16

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Solution

The fourth proportional to 16,134.98, 24,217.86 and 9,907.16 is: 14,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.98 : 24,217.86 = 9,907.16 : x
  2. Step 2: Convert to fraction form
    16,134.98/24,217.86 = 9,907.16/x
  3. Step 3: Cross multiply
    16,134.98x = 24,217.86 × 9,907.16
  4. Step 4: Simplify right side
    16,134.98x = 239,930,092.79
  5. Step 5: Solve for x
    x = 239,930,092.79/16,134.98
  6. Step 6: Final answer
    x = 14,870.19

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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.