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Finding the Fourth Proportional to 26,424.92, 36,466.80 and 15,815

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Solution

The fourth proportional to 26,424.92, 36,466.80 and 15,815 is: 21,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,424.92 : 36,466.80 = 15,815 : x
  2. Step 2: Convert to fraction form
    26,424.92/36,466.80 = 15,815/x
  3. Step 3: Cross multiply
    26,424.92x = 36,466.80 × 15,815
  4. Step 4: Simplify right side
    26,424.92x = 576,722,442
  5. Step 5: Solve for x
    x = 576,722,442/26,424.92
  6. Step 6: Final answer
    x = 21,824.95

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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.