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Finding the Fourth Proportional to 26,892.50, 40,340.88 and 8,174.16

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Solution

The fourth proportional to 26,892.50, 40,340.88 and 8,174.16 is: 12,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,892.50 : 40,340.88 = 8,174.16 : x
  2. Step 2: Convert to fraction form
    26,892.50/40,340.88 = 8,174.16/x
  3. Step 3: Cross multiply
    26,892.50x = 40,340.88 × 8,174.16
  4. Step 4: Simplify right side
    26,892.50x = 329,752,807.66
  5. Step 5: Solve for x
    x = 329,752,807.66/26,892.50
  6. Step 6: Final answer
    x = 12,261.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.