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Finding the Fourth Proportional to 13,565.88, 20,348.62 and 3,705.14

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Solution

The fourth proportional to 13,565.88, 20,348.62 and 3,705.14 is: 5,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.88 : 20,348.62 = 3,705.14 : x
  2. Step 2: Convert to fraction form
    13,565.88/20,348.62 = 3,705.14/x
  3. Step 3: Cross multiply
    13,565.88x = 20,348.62 × 3,705.14
  4. Step 4: Simplify right side
    13,565.88x = 75,394,527.52
  5. Step 5: Solve for x
    x = 75,394,527.52/13,565.88
  6. Step 6: Final answer
    x = 5,557.66

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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.