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Finding the Fourth Proportional to 13,689.74, 20,534.60 and 3,301.48

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Solution

The fourth proportional to 13,689.74, 20,534.60 and 3,301.48 is: 4,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.74 : 20,534.60 = 3,301.48 : x
  2. Step 2: Convert to fraction form
    13,689.74/20,534.60 = 3,301.48/x
  3. Step 3: Cross multiply
    13,689.74x = 20,534.60 × 3,301.48
  4. Step 4: Simplify right side
    13,689.74x = 67,794,571.21
  5. Step 5: Solve for x
    x = 67,794,571.21/13,689.74
  6. Step 6: Final answer
    x = 4,952.22

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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.