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Finding the Fourth Proportional to 12,086.65, 18,129.25 and 7,187.47

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Solution

The fourth proportional to 12,086.65, 18,129.25 and 7,187.47 is: 10,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.65 : 18,129.25 = 7,187.47 : x
  2. Step 2: Convert to fraction form
    12,086.65/18,129.25 = 7,187.47/x
  3. Step 3: Cross multiply
    12,086.65x = 18,129.25 × 7,187.47
  4. Step 4: Simplify right side
    12,086.65x = 130,303,363.73
  5. Step 5: Solve for x
    x = 130,303,363.73/12,086.65
  6. Step 6: Final answer
    x = 10,780.77

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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.