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Finding the Fourth Proportional to 20,141.30, 30,215.03 and 10,275.20

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Solution

The fourth proportional to 20,141.30, 30,215.03 and 10,275.20 is: 15,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.30 : 30,215.03 = 10,275.20 : x
  2. Step 2: Convert to fraction form
    20,141.30/30,215.03 = 10,275.20/x
  3. Step 3: Cross multiply
    20,141.30x = 30,215.03 × 10,275.20
  4. Step 4: Simplify right side
    20,141.30x = 310,465,476.26
  5. Step 5: Solve for x
    x = 310,465,476.26/20,141.30
  6. Step 6: Final answer
    x = 15,414.37

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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.