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Finding the Fourth Proportional to 12,882.14, 19,324.83 and 4,560.20

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Solution

The fourth proportional to 12,882.14, 19,324.83 and 4,560.20 is: 6,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.14 : 19,324.83 = 4,560.20 : x
  2. Step 2: Convert to fraction form
    12,882.14/19,324.83 = 4,560.20/x
  3. Step 3: Cross multiply
    12,882.14x = 19,324.83 × 4,560.20
  4. Step 4: Simplify right side
    12,882.14x = 88,125,089.77
  5. Step 5: Solve for x
    x = 88,125,089.77/12,882.14
  6. Step 6: Final answer
    x = 6,840.87

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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.