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Finding the Fourth Proportional to 20,155.68, 30,233.52 and 7,672.80

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Solution

The fourth proportional to 20,155.68, 30,233.52 and 7,672.80 is: 11,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155.68 : 30,233.52 = 7,672.80 : x
  2. Step 2: Convert to fraction form
    20,155.68/30,233.52 = 7,672.80/x
  3. Step 3: Cross multiply
    20,155.68x = 30,233.52 × 7,672.80
  4. Step 4: Simplify right side
    20,155.68x = 231,975,752.26
  5. Step 5: Solve for x
    x = 231,975,752.26/20,155.68
  6. Step 6: Final answer
    x = 11,509.20

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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.