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Finding the Fourth Proportional to 24,461.76, 33,757.84 and 13,283.76

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Solution

The fourth proportional to 24,461.76, 33,757.84 and 13,283.76 is: 18,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.76 : 33,757.84 = 13,283.76 : x
  2. Step 2: Convert to fraction form
    24,461.76/33,757.84 = 13,283.76/x
  3. Step 3: Cross multiply
    24,461.76x = 33,757.84 × 13,283.76
  4. Step 4: Simplify right side
    24,461.76x = 448,431,044.68
  5. Step 5: Solve for x
    x = 448,431,044.68/24,461.76
  6. Step 6: Final answer
    x = 18,331.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.