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Finding the Fourth Proportional to 13,690.10, 20,535.17 and 3,301.85

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Solution

The fourth proportional to 13,690.10, 20,535.17 and 3,301.85 is: 4,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.10 : 20,535.17 = 3,301.85 : x
  2. Step 2: Convert to fraction form
    13,690.10/20,535.17 = 3,301.85/x
  3. Step 3: Cross multiply
    13,690.10x = 20,535.17 × 3,301.85
  4. Step 4: Simplify right side
    13,690.10x = 67,804,085.89
  5. Step 5: Solve for x
    x = 67,804,085.89/13,690.10
  6. Step 6: Final answer
    x = 4,952.78

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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.