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Finding the Fourth Proportional to 15,222.96, 22,834.20 and 4,834.56

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Solution

The fourth proportional to 15,222.96, 22,834.20 and 4,834.56 is: 7,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,222.96 : 22,834.20 = 4,834.56 : x
  2. Step 2: Convert to fraction form
    15,222.96/22,834.20 = 4,834.56/x
  3. Step 3: Cross multiply
    15,222.96x = 22,834.20 × 4,834.56
  4. Step 4: Simplify right side
    15,222.96x = 110,393,309.95
  5. Step 5: Solve for x
    x = 110,393,309.95/15,222.96
  6. Step 6: Final answer
    x = 7,251.76

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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.