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Finding the Fourth Proportional to 16,172.90, 24,251.67 and 5,641.64

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Solution

The fourth proportional to 16,172.90, 24,251.67 and 5,641.64 is: 8,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.90 : 24,251.67 = 5,641.64 : x
  2. Step 2: Convert to fraction form
    16,172.90/24,251.67 = 5,641.64/x
  3. Step 3: Cross multiply
    16,172.90x = 24,251.67 × 5,641.64
  4. Step 4: Simplify right side
    16,172.90x = 136,819,191.54
  5. Step 5: Solve for x
    x = 136,819,191.54/16,172.90
  6. Step 6: Final answer
    x = 8,459.78

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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.