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Finding the Fourth Proportional to 13,626.90, 20,414.70 and 7,765.74

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Solution

The fourth proportional to 13,626.90, 20,414.70 and 7,765.74 is: 11,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,626.90 : 20,414.70 = 7,765.74 : x
  2. Step 2: Convert to fraction form
    13,626.90/20,414.70 = 7,765.74/x
  3. Step 3: Cross multiply
    13,626.90x = 20,414.70 × 7,765.74
  4. Step 4: Simplify right side
    13,626.90x = 158,535,252.38
  5. Step 5: Solve for x
    x = 158,535,252.38/13,626.90
  6. Step 6: Final answer
    x = 11,633.99

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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.