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Finding the Fourth Proportional to 14,545.83, 20,072.01 and 8,171.92

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Solution

The fourth proportional to 14,545.83, 20,072.01 and 8,171.92 is: 11,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545.83 : 20,072.01 = 8,171.92 : x
  2. Step 2: Convert to fraction form
    14,545.83/20,072.01 = 8,171.92/x
  3. Step 3: Cross multiply
    14,545.83x = 20,072.01 × 8,171.92
  4. Step 4: Simplify right side
    14,545.83x = 164,026,847.41
  5. Step 5: Solve for x
    x = 164,026,847.41/14,545.83
  6. Step 6: Final answer
    x = 11,276.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.