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Finding the Fourth Proportional to 24,711.39, 37,059.41 and 8,914.37

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Solution

The fourth proportional to 24,711.39, 37,059.41 and 8,914.37 is: 13,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.39 : 37,059.41 = 8,914.37 : x
  2. Step 2: Convert to fraction form
    24,711.39/37,059.41 = 8,914.37/x
  3. Step 3: Cross multiply
    24,711.39x = 37,059.41 × 8,914.37
  4. Step 4: Simplify right side
    24,711.39x = 330,361,062.85
  5. Step 5: Solve for x
    x = 330,361,062.85/24,711.39
  6. Step 6: Final answer
    x = 13,368.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.