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Finding the Fourth Proportional to 24,425.50, 33,708.81 and 13,671.38

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Solution

The fourth proportional to 24,425.50, 33,708.81 and 13,671.38 is: 18,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,425.50 : 33,708.81 = 13,671.38 : x
  2. Step 2: Convert to fraction form
    24,425.50/33,708.81 = 13,671.38/x
  3. Step 3: Cross multiply
    24,425.50x = 33,708.81 × 13,671.38
  4. Step 4: Simplify right side
    24,425.50x = 460,846,009.50
  5. Step 5: Solve for x
    x = 460,846,009.50/24,425.50
  6. Step 6: Final answer
    x = 18,867.41

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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.