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Finding the Fourth Proportional to 20,488.60, 30,742.65 and 7,342.30

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Solution

The fourth proportional to 20,488.60, 30,742.65 and 7,342.30 is: 11,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.60 : 30,742.65 = 7,342.30 : x
  2. Step 2: Convert to fraction form
    20,488.60/30,742.65 = 7,342.30/x
  3. Step 3: Cross multiply
    20,488.60x = 30,742.65 × 7,342.30
  4. Step 4: Simplify right side
    20,488.60x = 225,721,759.10
  5. Step 5: Solve for x
    x = 225,721,759.10/20,488.60
  6. Step 6: Final answer
    x = 11,016.94

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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.