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Finding the Fourth Proportional to 13,713.53, 20,569.26 and 4,948.44

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Solution

The fourth proportional to 13,713.53, 20,569.26 and 4,948.44 is: 7,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.53 : 20,569.26 = 4,948.44 : x
  2. Step 2: Convert to fraction form
    13,713.53/20,569.26 = 4,948.44/x
  3. Step 3: Cross multiply
    13,713.53x = 20,569.26 × 4,948.44
  4. Step 4: Simplify right side
    13,713.53x = 101,785,780.37
  5. Step 5: Solve for x
    x = 101,785,780.37/13,713.53
  6. Step 6: Final answer
    x = 7,422.29

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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.