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Finding the Fourth Proportional to 16,115.76, 24,171.57 and 4,429.89

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Solution

The fourth proportional to 16,115.76, 24,171.57 and 4,429.89 is: 6,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,115.76 : 24,171.57 = 4,429.89 : x
  2. Step 2: Convert to fraction form
    16,115.76/24,171.57 = 4,429.89/x
  3. Step 3: Cross multiply
    16,115.76x = 24,171.57 × 4,429.89
  4. Step 4: Simplify right side
    16,115.76x = 107,077,396.23
  5. Step 5: Solve for x
    x = 107,077,396.23/16,115.76
  6. Step 6: Final answer
    x = 6,644.27

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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.