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Finding the Fourth Proportional to 12,545.92, 18,830.22 and 6,991.12

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Solution

The fourth proportional to 12,545.92, 18,830.22 and 6,991.12 is: 10,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,545.92 : 18,830.22 = 6,991.12 : x
  2. Step 2: Convert to fraction form
    12,545.92/18,830.22 = 6,991.12/x
  3. Step 3: Cross multiply
    12,545.92x = 18,830.22 × 6,991.12
  4. Step 4: Simplify right side
    12,545.92x = 131,644,327.65
  5. Step 5: Solve for x
    x = 131,644,327.65/12,545.92
  6. Step 6: Final answer
    x = 10,493.00

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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.