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Finding the Fourth Proportional to 14,517.92, 21,776.78 and 4,129.68

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Solution

The fourth proportional to 14,517.92, 21,776.78 and 4,129.68 is: 6,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.92 : 21,776.78 = 4,129.68 : x
  2. Step 2: Convert to fraction form
    14,517.92/21,776.78 = 4,129.68/x
  3. Step 3: Cross multiply
    14,517.92x = 21,776.78 × 4,129.68
  4. Step 4: Simplify right side
    14,517.92x = 89,931,132.83
  5. Step 5: Solve for x
    x = 89,931,132.83/14,517.92
  6. Step 6: Final answer
    x = 6,194.49

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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.