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Finding the Fourth Proportional to 20,566.20, 30,842.10 and 10,702.20

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Solution

The fourth proportional to 20,566.20, 30,842.10 and 10,702.20 is: 16,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,566.20 : 30,842.10 = 10,702.20 : x
  2. Step 2: Convert to fraction form
    20,566.20/30,842.10 = 10,702.20/x
  3. Step 3: Cross multiply
    20,566.20x = 30,842.10 × 10,702.20
  4. Step 4: Simplify right side
    20,566.20x = 330,078,322.62
  5. Step 5: Solve for x
    x = 330,078,322.62/20,566.20
  6. Step 6: Final answer
    x = 16,049.55

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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.