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Finding the Fourth Proportional to 13,449.90, 20,176.14 and 4,566.12

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Solution

The fourth proportional to 13,449.90, 20,176.14 and 4,566.12 is: 6,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449.90 : 20,176.14 = 4,566.12 : x
  2. Step 2: Convert to fraction form
    13,449.90/20,176.14 = 4,566.12/x
  3. Step 3: Cross multiply
    13,449.90x = 20,176.14 × 4,566.12
  4. Step 4: Simplify right side
    13,449.90x = 92,126,705.65
  5. Step 5: Solve for x
    x = 92,126,705.65/13,449.90
  6. Step 6: Final answer
    x = 6,849.62

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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.