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Finding the Fourth Proportional to 20,147.40, 30,225.90 and 10,288.20

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Solution

The fourth proportional to 20,147.40, 30,225.90 and 10,288.20 is: 15,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.40 : 30,225.90 = 10,288.20 : x
  2. Step 2: Convert to fraction form
    20,147.40/30,225.90 = 10,288.20/x
  3. Step 3: Cross multiply
    20,147.40x = 30,225.90 × 10,288.20
  4. Step 4: Simplify right side
    20,147.40x = 310,970,104.38
  5. Step 5: Solve for x
    x = 310,970,104.38/20,147.40
  6. Step 6: Final answer
    x = 15,434.75

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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.