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Finding the Fourth Proportional to 12,057.88, 18,086.65 and 7,315.17

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Solution

The fourth proportional to 12,057.88, 18,086.65 and 7,315.17 is: 10,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.88 : 18,086.65 = 7,315.17 : x
  2. Step 2: Convert to fraction form
    12,057.88/18,086.65 = 7,315.17/x
  3. Step 3: Cross multiply
    12,057.88x = 18,086.65 × 7,315.17
  4. Step 4: Simplify right side
    12,057.88x = 132,306,855.98
  5. Step 5: Solve for x
    x = 132,306,855.98/12,057.88
  6. Step 6: Final answer
    x = 10,972.65

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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.