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Finding the Fourth Proportional to 20,358.80, 30,538.20 and 7,212.50

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Solution

The fourth proportional to 20,358.80, 30,538.20 and 7,212.50 is: 10,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,358.80 : 30,538.20 = 7,212.50 : x
  2. Step 2: Convert to fraction form
    20,358.80/30,538.20 = 7,212.50/x
  3. Step 3: Cross multiply
    20,358.80x = 30,538.20 × 7,212.50
  4. Step 4: Simplify right side
    20,358.80x = 220,256,767.50
  5. Step 5: Solve for x
    x = 220,256,767.50/20,358.80
  6. Step 6: Final answer
    x = 10,818.75

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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.