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Finding the Fourth Proportional to 14,745.60, 22,082.79 and 9,191.97

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Solution

The fourth proportional to 14,745.60, 22,082.79 and 9,191.97 is: 13,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745.60 : 22,082.79 = 9,191.97 : x
  2. Step 2: Convert to fraction form
    14,745.60/22,082.79 = 9,191.97/x
  3. Step 3: Cross multiply
    14,745.60x = 22,082.79 × 9,191.97
  4. Step 4: Simplify right side
    14,745.60x = 202,984,343.20
  5. Step 5: Solve for x
    x = 202,984,343.20/14,745.60
  6. Step 6: Final answer
    x = 13,765.76

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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.