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Finding the Fourth Proportional to 13,489.38, 20,234.98 and 6,470.94

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Solution

The fourth proportional to 13,489.38, 20,234.98 and 6,470.94 is: 9,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.38 : 20,234.98 = 6,470.94 : x
  2. Step 2: Convert to fraction form
    13,489.38/20,234.98 = 6,470.94/x
  3. Step 3: Cross multiply
    13,489.38x = 20,234.98 × 6,470.94
  4. Step 4: Simplify right side
    13,489.38x = 130,939,341.48
  5. Step 5: Solve for x
    x = 130,939,341.48/13,489.38
  6. Step 6: Final answer
    x = 9,706.85

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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.