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Finding the Fourth Proportional to 20,251.40, 30,381.84 and 10,231.16

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Solution

The fourth proportional to 20,251.40, 30,381.84 and 10,231.16 is: 15,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.40 : 30,381.84 = 10,231.16 : x
  2. Step 2: Convert to fraction form
    20,251.40/30,381.84 = 10,231.16/x
  3. Step 3: Cross multiply
    20,251.40x = 30,381.84 × 10,231.16
  4. Step 4: Simplify right side
    20,251.40x = 310,841,466.13
  5. Step 5: Solve for x
    x = 310,841,466.13/20,251.40
  6. Step 6: Final answer
    x = 15,349.13

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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.