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Finding the Fourth Proportional to 12,524.65, 18,786.88 and 5,129.11

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Solution

The fourth proportional to 12,524.65, 18,786.88 and 5,129.11 is: 7,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.65 : 18,786.88 = 5,129.11 : x
  2. Step 2: Convert to fraction form
    12,524.65/18,786.88 = 5,129.11/x
  3. Step 3: Cross multiply
    12,524.65x = 18,786.88 × 5,129.11
  4. Step 4: Simplify right side
    12,524.65x = 96,359,974.08
  5. Step 5: Solve for x
    x = 96,359,974.08/12,524.65
  6. Step 6: Final answer
    x = 7,693.63

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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.