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Finding the Fourth Proportional to 27,887.32, 38,475.08 and 15,942.20

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Solution

The fourth proportional to 27,887.32, 38,475.08 and 15,942.20 is: 21,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,887.32 : 38,475.08 = 15,942.20 : x
  2. Step 2: Convert to fraction form
    27,887.32/38,475.08 = 15,942.20/x
  3. Step 3: Cross multiply
    27,887.32x = 38,475.08 × 15,942.20
  4. Step 4: Simplify right side
    27,887.32x = 613,377,420.38
  5. Step 5: Solve for x
    x = 613,377,420.38/27,887.32
  6. Step 6: Final answer
    x = 21,994.85

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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.