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Finding the Fourth Proportional to 24,957.70, 34,441.37 and 13,627.16

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Solution

The fourth proportional to 24,957.70, 34,441.37 and 13,627.16 is: 18,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,957.70 : 34,441.37 = 13,627.16 : x
  2. Step 2: Convert to fraction form
    24,957.70/34,441.37 = 13,627.16/x
  3. Step 3: Cross multiply
    24,957.70x = 34,441.37 × 13,627.16
  4. Step 4: Simplify right side
    24,957.70x = 469,337,991.47
  5. Step 5: Solve for x
    x = 469,337,991.47/24,957.70
  6. Step 6: Final answer
    x = 18,805.34

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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.