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Finding the Fourth Proportional to 20,170.86, 30,278.07 and 15,293.76

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Solution

The fourth proportional to 20,170.86, 30,278.07 and 15,293.76 is: 22,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170.86 : 30,278.07 = 15,293.76 : x
  2. Step 2: Convert to fraction form
    20,170.86/30,278.07 = 15,293.76/x
  3. Step 3: Cross multiply
    20,170.86x = 30,278.07 × 15,293.76
  4. Step 4: Simplify right side
    20,170.86x = 463,065,535.84
  5. Step 5: Solve for x
    x = 463,065,535.84/20,170.86
  6. Step 6: Final answer
    x = 22,957.15

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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.