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Finding the Fourth Proportional to 13,842.32, 20,751.96 and 5,517.20

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Solution

The fourth proportional to 13,842.32, 20,751.96 and 5,517.20 is: 8,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.32 : 20,751.96 = 5,517.20 : x
  2. Step 2: Convert to fraction form
    13,842.32/20,751.96 = 5,517.20/x
  3. Step 3: Cross multiply
    13,842.32x = 20,751.96 × 5,517.20
  4. Step 4: Simplify right side
    13,842.32x = 114,492,713.71
  5. Step 5: Solve for x
    x = 114,492,713.71/13,842.32
  6. Step 6: Final answer
    x = 8,271.21

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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.