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Finding the Fourth Proportional to 13,535.20, 20,302.80 and 13,340.80

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Solution

The fourth proportional to 13,535.20, 20,302.80 and 13,340.80 is: 20,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.20 : 20,302.80 = 13,340.80 : x
  2. Step 2: Convert to fraction form
    13,535.20/20,302.80 = 13,340.80/x
  3. Step 3: Cross multiply
    13,535.20x = 20,302.80 × 13,340.80
  4. Step 4: Simplify right side
    13,535.20x = 270,855,594.24
  5. Step 5: Solve for x
    x = 270,855,594.24/13,535.20
  6. Step 6: Final answer
    x = 20,011.20

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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.