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Finding the Fourth Proportional to 20,074.57, 30,112.16 and 7,600.47

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Solution

The fourth proportional to 20,074.57, 30,112.16 and 7,600.47 is: 11,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,074.57 : 30,112.16 = 7,600.47 : x
  2. Step 2: Convert to fraction form
    20,074.57/30,112.16 = 7,600.47/x
  3. Step 3: Cross multiply
    20,074.57x = 30,112.16 × 7,600.47
  4. Step 4: Simplify right side
    20,074.57x = 228,866,568.72
  5. Step 5: Solve for x
    x = 228,866,568.72/20,074.57
  6. Step 6: Final answer
    x = 11,400.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.