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Finding the Fourth Proportional to 34,196.80, 51,264.24 and 13,414.72

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Solution

The fourth proportional to 34,196.80, 51,264.24 and 13,414.72 is: 20,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196.80 : 51,264.24 = 13,414.72 : x
  2. Step 2: Convert to fraction form
    34,196.80/51,264.24 = 13,414.72/x
  3. Step 3: Cross multiply
    34,196.80x = 51,264.24 × 13,414.72
  4. Step 4: Simplify right side
    34,196.80x = 687,695,425.61
  5. Step 5: Solve for x
    x = 687,695,425.61/34,196.80
  6. Step 6: Final answer
    x = 20,109.94

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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.