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Finding the Fourth Proportional to 13,767.54, 20,657.92 and 7,527.30

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Solution

The fourth proportional to 13,767.54, 20,657.92 and 7,527.30 is: 11,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.54 : 20,657.92 = 7,527.30 : x
  2. Step 2: Convert to fraction form
    13,767.54/20,657.92 = 7,527.30/x
  3. Step 3: Cross multiply
    13,767.54x = 20,657.92 × 7,527.30
  4. Step 4: Simplify right side
    13,767.54x = 155,498,220.29
  5. Step 5: Solve for x
    x = 155,498,220.29/13,767.54
  6. Step 6: Final answer
    x = 11,294.56

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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.