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Finding the Fourth Proportional to 13,471.20, 20,211.84 and 5,154.24

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Solution

The fourth proportional to 13,471.20, 20,211.84 and 5,154.24 is: 7,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.20 : 20,211.84 = 5,154.24 : x
  2. Step 2: Convert to fraction form
    13,471.20/20,211.84 = 5,154.24/x
  3. Step 3: Cross multiply
    13,471.20x = 20,211.84 × 5,154.24
  4. Step 4: Simplify right side
    13,471.20x = 104,176,674.20
  5. Step 5: Solve for x
    x = 104,176,674.20/13,471.20
  6. Step 6: Final answer
    x = 7,733.29

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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.