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Finding the Fourth Proportional to 24,850, 34,304.43 and 15,424.12

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Solution

The fourth proportional to 24,850, 34,304.43 and 15,424.12 is: 21,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,850 : 34,304.43 = 15,424.12 : x
  2. Step 2: Convert to fraction form
    24,850/34,304.43 = 15,424.12/x
  3. Step 3: Cross multiply
    24,850x = 34,304.43 × 15,424.12
  4. Step 4: Simplify right side
    24,850x = 529,115,644.85
  5. Step 5: Solve for x
    x = 529,115,644.85/24,850
  6. Step 6: Final answer
    x = 21,292.38

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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.