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Finding the Fourth Proportional to 13,490.85, 20,227.50 and 6,470.73

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Solution

The fourth proportional to 13,490.85, 20,227.50 and 6,470.73 is: 9,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.85 : 20,227.50 = 6,470.73 : x
  2. Step 2: Convert to fraction form
    13,490.85/20,227.50 = 6,470.73/x
  3. Step 3: Cross multiply
    13,490.85x = 20,227.50 × 6,470.73
  4. Step 4: Simplify right side
    13,490.85x = 130,886,691.08
  5. Step 5: Solve for x
    x = 130,886,691.08/13,490.85
  6. Step 6: Final answer
    x = 9,701.89

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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.