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Finding the Fourth Proportional to 13,882.48, 20,830.56 and 6,487.45

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Solution

The fourth proportional to 13,882.48, 20,830.56 and 6,487.45 is: 9,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.48 : 20,830.56 = 6,487.45 : x
  2. Step 2: Convert to fraction form
    13,882.48/20,830.56 = 6,487.45/x
  3. Step 3: Cross multiply
    13,882.48x = 20,830.56 × 6,487.45
  4. Step 4: Simplify right side
    13,882.48x = 135,137,216.47
  5. Step 5: Solve for x
    x = 135,137,216.47/13,882.48
  6. Step 6: Final answer
    x = 9,734.37

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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.