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Finding the Fourth Proportional to 13,539.76, 20,295.27 and 6,515.39

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Solution

The fourth proportional to 13,539.76, 20,295.27 and 6,515.39 is: 9,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.76 : 20,295.27 = 6,515.39 : x
  2. Step 2: Convert to fraction form
    13,539.76/20,295.27 = 6,515.39/x
  3. Step 3: Cross multiply
    13,539.76x = 20,295.27 × 6,515.39
  4. Step 4: Simplify right side
    13,539.76x = 132,231,649.94
  5. Step 5: Solve for x
    x = 132,231,649.94/13,539.76
  6. Step 6: Final answer
    x = 9,766.18

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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.