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Finding the Fourth Proportional to 19,517.80, 29,255.71 and 8,429.71

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Solution

The fourth proportional to 19,517.80, 29,255.71 and 8,429.71 is: 12,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517.80 : 29,255.71 = 8,429.71 : x
  2. Step 2: Convert to fraction form
    19,517.80/29,255.71 = 8,429.71/x
  3. Step 3: Cross multiply
    19,517.80x = 29,255.71 × 8,429.71
  4. Step 4: Simplify right side
    19,517.80x = 246,617,151.14
  5. Step 5: Solve for x
    x = 246,617,151.14/19,517.80
  6. Step 6: Final answer
    x = 12,635.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.