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Finding the Fourth Proportional to 14,701.92, 22,049.56 and 4,314.48

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Solution

The fourth proportional to 14,701.92, 22,049.56 and 4,314.48 is: 6,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.92 : 22,049.56 = 4,314.48 : x
  2. Step 2: Convert to fraction form
    14,701.92/22,049.56 = 4,314.48/x
  3. Step 3: Cross multiply
    14,701.92x = 22,049.56 × 4,314.48
  4. Step 4: Simplify right side
    14,701.92x = 95,132,385.63
  5. Step 5: Solve for x
    x = 95,132,385.63/14,701.92
  6. Step 6: Final answer
    x = 6,470.75

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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.