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Finding the Fourth Proportional to 13,456.79, 20,189.50 and 4,098.62

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Solution

The fourth proportional to 13,456.79, 20,189.50 and 4,098.62 is: 6,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.79 : 20,189.50 = 4,098.62 : x
  2. Step 2: Convert to fraction form
    13,456.79/20,189.50 = 4,098.62/x
  3. Step 3: Cross multiply
    13,456.79x = 20,189.50 × 4,098.62
  4. Step 4: Simplify right side
    13,456.79x = 82,749,038.21
  5. Step 5: Solve for x
    x = 82,749,038.21/13,456.79
  6. Step 6: Final answer
    x = 6,149.24

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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.