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Finding the Fourth Proportional to 13,456.80, 20,179.98 and 6,434.93

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Solution

The fourth proportional to 13,456.80, 20,179.98 and 6,434.93 is: 9,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.80 : 20,179.98 = 6,434.93 : x
  2. Step 2: Convert to fraction form
    13,456.80/20,179.98 = 6,434.93/x
  3. Step 3: Cross multiply
    13,456.80x = 20,179.98 × 6,434.93
  4. Step 4: Simplify right side
    13,456.80x = 129,856,657.80
  5. Step 5: Solve for x
    x = 129,856,657.80/13,456.80
  6. Step 6: Final answer
    x = 9,649.89

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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.