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Finding the Fourth Proportional to 13,565.97, 20,348.82 and 3,705.25

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Solution

The fourth proportional to 13,565.97, 20,348.82 and 3,705.25 is: 5,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.97 : 20,348.82 = 3,705.25 : x
  2. Step 2: Convert to fraction form
    13,565.97/20,348.82 = 3,705.25/x
  3. Step 3: Cross multiply
    13,565.97x = 20,348.82 × 3,705.25
  4. Step 4: Simplify right side
    13,565.97x = 75,397,465.31
  5. Step 5: Solve for x
    x = 75,397,465.31/13,565.97
  6. Step 6: Final answer
    x = 5,557.84

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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.