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Finding the Fourth Proportional to 20,543.80, 30,815.70 and 14,906.20

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Solution

The fourth proportional to 20,543.80, 30,815.70 and 14,906.20 is: 22,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543.80 : 30,815.70 = 14,906.20 : x
  2. Step 2: Convert to fraction form
    20,543.80/30,815.70 = 14,906.20/x
  3. Step 3: Cross multiply
    20,543.80x = 30,815.70 × 14,906.20
  4. Step 4: Simplify right side
    20,543.80x = 459,344,987.34
  5. Step 5: Solve for x
    x = 459,344,987.34/20,543.80
  6. Step 6: Final answer
    x = 22,359.30

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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.