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Finding the Fourth Proportional to 13,229.40, 19,811.70 and 6,295.80

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Solution

The fourth proportional to 13,229.40, 19,811.70 and 6,295.80 is: 9,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.40 : 19,811.70 = 6,295.80 : x
  2. Step 2: Convert to fraction form
    13,229.40/19,811.70 = 6,295.80/x
  3. Step 3: Cross multiply
    13,229.40x = 19,811.70 × 6,295.80
  4. Step 4: Simplify right side
    13,229.40x = 124,730,500.86
  5. Step 5: Solve for x
    x = 124,730,500.86/13,229.40
  6. Step 6: Final answer
    x = 9,428.28

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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.