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Finding the Fourth Proportional to 20,177.60, 30,266.40 and 19,788.80

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Solution

The fourth proportional to 20,177.60, 30,266.40 and 19,788.80 is: 29,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.60 : 30,266.40 = 19,788.80 : x
  2. Step 2: Convert to fraction form
    20,177.60/30,266.40 = 19,788.80/x
  3. Step 3: Cross multiply
    20,177.60x = 30,266.40 × 19,788.80
  4. Step 4: Simplify right side
    20,177.60x = 598,935,736.32
  5. Step 5: Solve for x
    x = 598,935,736.32/20,177.60
  6. Step 6: Final answer
    x = 29,683.20

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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.