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Finding the Fourth Proportional to 12,882.15, 19,324.17 and 4,117.95

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Solution

The fourth proportional to 12,882.15, 19,324.17 and 4,117.95 is: 6,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.15 : 19,324.17 = 4,117.95 : x
  2. Step 2: Convert to fraction form
    12,882.15/19,324.17 = 4,117.95/x
  3. Step 3: Cross multiply
    12,882.15x = 19,324.17 × 4,117.95
  4. Step 4: Simplify right side
    12,882.15x = 79,575,965.85
  5. Step 5: Solve for x
    x = 79,575,965.85/12,882.15
  6. Step 6: Final answer
    x = 6,177.23

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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.