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Finding the Fourth Proportional to 24,461.90, 33,757.38 and 13,283.90

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Solution

The fourth proportional to 24,461.90, 33,757.38 and 13,283.90 is: 18,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.90 : 33,757.38 = 13,283.90 : x
  2. Step 2: Convert to fraction form
    24,461.90/33,757.38 = 13,283.90/x
  3. Step 3: Cross multiply
    24,461.90x = 33,757.38 × 13,283.90
  4. Step 4: Simplify right side
    24,461.90x = 448,429,660.18
  5. Step 5: Solve for x
    x = 448,429,660.18/24,461.90
  6. Step 6: Final answer
    x = 18,331.76

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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.