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Finding the Fourth Proportional to 12,226.50, 16,882.91 and 7,758.18

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Solution

The fourth proportional to 12,226.50, 16,882.91 and 7,758.18 is: 10,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.50 : 16,882.91 = 7,758.18 : x
  2. Step 2: Convert to fraction form
    12,226.50/16,882.91 = 7,758.18/x
  3. Step 3: Cross multiply
    12,226.50x = 16,882.91 × 7,758.18
  4. Step 4: Simplify right side
    12,226.50x = 130,980,654.70
  5. Step 5: Solve for x
    x = 130,980,654.70/12,226.50
  6. Step 6: Final answer
    x = 10,712.85

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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.