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Finding the Fourth Proportional to 13,862.85, 20,805.20 and 6,463.50

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Solution

The fourth proportional to 13,862.85, 20,805.20 and 6,463.50 is: 9,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.85 : 20,805.20 = 6,463.50 : x
  2. Step 2: Convert to fraction form
    13,862.85/20,805.20 = 6,463.50/x
  3. Step 3: Cross multiply
    13,862.85x = 20,805.20 × 6,463.50
  4. Step 4: Simplify right side
    13,862.85x = 134,474,410.20
  5. Step 5: Solve for x
    x = 134,474,410.20/13,862.85
  6. Step 6: Final answer
    x = 9,700.34

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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.