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Finding the Fourth Proportional to 13,378.80, 20,098.96 and 9,439.13

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Solution

The fourth proportional to 13,378.80, 20,098.96 and 9,439.13 is: 14,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.80 : 20,098.96 = 9,439.13 : x
  2. Step 2: Convert to fraction form
    13,378.80/20,098.96 = 9,439.13/x
  3. Step 3: Cross multiply
    13,378.80x = 20,098.96 × 9,439.13
  4. Step 4: Simplify right side
    13,378.80x = 189,716,749.50
  5. Step 5: Solve for x
    x = 189,716,749.50/13,378.80
  6. Step 6: Final answer
    x = 14,180.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.