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Finding the Fourth Proportional to 20,565.20, 30,829.08 and 7,414.58

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Solution

The fourth proportional to 20,565.20, 30,829.08 and 7,414.58 is: 11,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.20 : 30,829.08 = 7,414.58 : x
  2. Step 2: Convert to fraction form
    20,565.20/30,829.08 = 7,414.58/x
  3. Step 3: Cross multiply
    20,565.20x = 30,829.08 × 7,414.58
  4. Step 4: Simplify right side
    20,565.20x = 228,584,679.99
  5. Step 5: Solve for x
    x = 228,584,679.99/20,565.20
  6. Step 6: Final answer
    x = 11,115.12

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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.