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Finding the Fourth Proportional to 14,107.65, 21,158.10 and 8,171.70

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Solution

The fourth proportional to 14,107.65, 21,158.10 and 8,171.70 is: 12,255.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.65 : 21,158.10 = 8,171.70 : x
  2. Step 2: Convert to fraction form
    14,107.65/21,158.10 = 8,171.70/x
  3. Step 3: Cross multiply
    14,107.65x = 21,158.10 × 8,171.70
  4. Step 4: Simplify right side
    14,107.65x = 172,897,645.77
  5. Step 5: Solve for x
    x = 172,897,645.77/14,107.65
  6. Step 6: Final answer
    x = 12,255.60

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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.