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Finding the Fourth Proportional to 12,269.74, 16,927.23 and 8,545.90

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Solution

The fourth proportional to 12,269.74, 16,927.23 and 8,545.90 is: 11,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.74 : 16,927.23 = 8,545.90 : x
  2. Step 2: Convert to fraction form
    12,269.74/16,927.23 = 8,545.90/x
  3. Step 3: Cross multiply
    12,269.74x = 16,927.23 × 8,545.90
  4. Step 4: Simplify right side
    12,269.74x = 144,658,414.86
  5. Step 5: Solve for x
    x = 144,658,414.86/12,269.74
  6. Step 6: Final answer
    x = 11,789.85

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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.