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Finding the Fourth Proportional to 24,806.06, 34,222.46 and 15,851.24

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Solution

The fourth proportional to 24,806.06, 34,222.46 and 15,851.24 is: 21,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806.06 : 34,222.46 = 15,851.24 : x
  2. Step 2: Convert to fraction form
    24,806.06/34,222.46 = 15,851.24/x
  3. Step 3: Cross multiply
    24,806.06x = 34,222.46 × 15,851.24
  4. Step 4: Simplify right side
    24,806.06x = 542,468,426.85
  5. Step 5: Solve for x
    x = 542,468,426.85/24,806.06
  6. Step 6: Final answer
    x = 21,868.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.