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Finding the Fourth Proportional to 18,149.76, 27,211.84 and 7,047.20

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Solution

The fourth proportional to 18,149.76, 27,211.84 and 7,047.20 is: 10,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,149.76 : 27,211.84 = 7,047.20 : x
  2. Step 2: Convert to fraction form
    18,149.76/27,211.84 = 7,047.20/x
  3. Step 3: Cross multiply
    18,149.76x = 27,211.84 × 7,047.20
  4. Step 4: Simplify right side
    18,149.76x = 191,767,278.85
  5. Step 5: Solve for x
    x = 191,767,278.85/18,149.76
  6. Step 6: Final answer
    x = 10,565.83

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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.