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Finding the Fourth Proportional to 26,517, 36,593.46 and 15,339

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Solution

The fourth proportional to 26,517, 36,593.46 and 15,339 is: 21,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,517 : 36,593.46 = 15,339 : x
  2. Step 2: Convert to fraction form
    26,517/36,593.46 = 15,339/x
  3. Step 3: Cross multiply
    26,517x = 36,593.46 × 15,339
  4. Step 4: Simplify right side
    26,517x = 561,307,082.94
  5. Step 5: Solve for x
    x = 561,307,082.94/26,517
  6. Step 6: Final answer
    x = 21,167.82

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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.