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Finding the Fourth Proportional to 13,443.20, 20,164.80 and 10,329.20

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Solution

The fourth proportional to 13,443.20, 20,164.80 and 10,329.20 is: 15,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.20 : 20,164.80 = 10,329.20 : x
  2. Step 2: Convert to fraction form
    13,443.20/20,164.80 = 10,329.20/x
  3. Step 3: Cross multiply
    13,443.20x = 20,164.80 × 10,329.20
  4. Step 4: Simplify right side
    13,443.20x = 208,286,252.16
  5. Step 5: Solve for x
    x = 208,286,252.16/13,443.20
  6. Step 6: Final answer
    x = 15,493.80

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1.5x scale

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.