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Finding the Fourth Proportional to 20,489.60, 30,734.40 and 11,595.80

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Solution

The fourth proportional to 20,489.60, 30,734.40 and 11,595.80 is: 17,393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.60 : 30,734.40 = 11,595.80 : x
  2. Step 2: Convert to fraction form
    20,489.60/30,734.40 = 11,595.80/x
  3. Step 3: Cross multiply
    20,489.60x = 30,734.40 × 11,595.80
  4. Step 4: Simplify right side
    20,489.60x = 356,389,955.52
  5. Step 5: Solve for x
    x = 356,389,955.52/20,489.60
  6. Step 6: Final answer
    x = 17,393.70

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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.