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Finding the Fourth Proportional to 20,753.64, 30,982.68 and 20,024.64

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Solution

The fourth proportional to 20,753.64, 30,982.68 and 20,024.64 is: 29,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,753.64 : 30,982.68 = 20,024.64 : x
  2. Step 2: Convert to fraction form
    20,753.64/30,982.68 = 20,024.64/x
  3. Step 3: Cross multiply
    20,753.64x = 30,982.68 × 20,024.64
  4. Step 4: Simplify right side
    20,753.64x = 620,417,013.24
  5. Step 5: Solve for x
    x = 620,417,013.24/20,753.64
  6. Step 6: Final answer
    x = 29,894.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.