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Finding the Fourth Proportional to 24,650, 34,017 and 15,833.36

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Solution

The fourth proportional to 24,650, 34,017 and 15,833.36 is: 21,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650 : 34,017 = 15,833.36 : x
  2. Step 2: Convert to fraction form
    24,650/34,017 = 15,833.36/x
  3. Step 3: Cross multiply
    24,650x = 34,017 × 15,833.36
  4. Step 4: Simplify right side
    24,650x = 538,603,407.12
  5. Step 5: Solve for x
    x = 538,603,407.12/24,650
  6. Step 6: Final answer
    x = 21,850.04

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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.