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Finding the Fourth Proportional to 20,506.84, 30,753.48 and 8,023.64

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Solution

The fourth proportional to 20,506.84, 30,753.48 and 8,023.64 is: 12,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.84 : 30,753.48 = 8,023.64 : x
  2. Step 2: Convert to fraction form
    20,506.84/30,753.48 = 8,023.64/x
  3. Step 3: Cross multiply
    20,506.84x = 30,753.48 × 8,023.64
  4. Step 4: Simplify right side
    20,506.84x = 246,754,852.27
  5. Step 5: Solve for x
    x = 246,754,852.27/20,506.84
  6. Step 6: Final answer
    x = 12,032.81

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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.