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Finding the Fourth Proportional to 24,650.25, 34,017.35 and 15,833.61

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Solution

The fourth proportional to 24,650.25, 34,017.35 and 15,833.61 is: 21,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650.25 : 34,017.35 = 15,833.61 : x
  2. Step 2: Convert to fraction form
    24,650.25/34,017.35 = 15,833.61/x
  3. Step 3: Cross multiply
    24,650.25x = 34,017.35 × 15,833.61
  4. Step 4: Simplify right side
    24,650.25x = 538,617,373.97
  5. Step 5: Solve for x
    x = 538,617,373.97/24,650.25
  6. Step 6: Final answer
    x = 21,850.38

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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.