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Finding the Fourth Proportional to 20,572.67, 30,859.05 and 7,434.32

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Solution

The fourth proportional to 20,572.67, 30,859.05 and 7,434.32 is: 11,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.67 : 30,859.05 = 7,434.32 : x
  2. Step 2: Convert to fraction form
    20,572.67/30,859.05 = 7,434.32/x
  3. Step 3: Cross multiply
    20,572.67x = 30,859.05 × 7,434.32
  4. Step 4: Simplify right side
    20,572.67x = 229,416,052.60
  5. Step 5: Solve for x
    x = 229,416,052.60/20,572.67
  6. Step 6: Final answer
    x = 11,151.50

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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.