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Finding the Fourth Proportional to 12,727.80, 17,565.92 and 7,350.22

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Solution

The fourth proportional to 12,727.80, 17,565.92 and 7,350.22 is: 10,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.80 : 17,565.92 = 7,350.22 : x
  2. Step 2: Convert to fraction form
    12,727.80/17,565.92 = 7,350.22/x
  3. Step 3: Cross multiply
    12,727.80x = 17,565.92 × 7,350.22
  4. Step 4: Simplify right side
    12,727.80x = 129,113,376.50
  5. Step 5: Solve for x
    x = 129,113,376.50/12,727.80
  6. Step 6: Final answer
    x = 10,144.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.