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Finding the Fourth Proportional to 26,892, 37,115.82 and 15,568.74

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Solution

The fourth proportional to 26,892, 37,115.82 and 15,568.74 is: 21,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,892 : 37,115.82 = 15,568.74 : x
  2. Step 2: Convert to fraction form
    26,892/37,115.82 = 15,568.74/x
  3. Step 3: Cross multiply
    26,892x = 37,115.82 × 15,568.74
  4. Step 4: Simplify right side
    26,892x = 577,846,551.47
  5. Step 5: Solve for x
    x = 577,846,551.47/26,892
  6. Step 6: Final answer
    x = 21,487.67

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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.