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Finding the Fourth Proportional to 26,787, 36,966 and 16,174.56

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Solution

The fourth proportional to 26,787, 36,966 and 16,174.56 is: 22,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,787 : 36,966 = 16,174.56 : x
  2. Step 2: Convert to fraction form
    26,787/36,966 = 16,174.56/x
  3. Step 3: Cross multiply
    26,787x = 36,966 × 16,174.56
  4. Step 4: Simplify right side
    26,787x = 597,908,784.96
  5. Step 5: Solve for x
    x = 597,908,784.96/26,787
  6. Step 6: Final answer
    x = 22,320.86

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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.