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Finding the Fourth Proportional to 26,963.73, 40,446 and 9,434.12

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Solution

The fourth proportional to 26,963.73, 40,446 and 9,434.12 is: 14,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,963.73 : 40,446 = 9,434.12 : x
  2. Step 2: Convert to fraction form
    26,963.73/40,446 = 9,434.12/x
  3. Step 3: Cross multiply
    26,963.73x = 40,446 × 9,434.12
  4. Step 4: Simplify right side
    26,963.73x = 381,572,215.29
  5. Step 5: Solve for x
    x = 381,572,215.29/26,963.73
  6. Step 6: Final answer
    x = 14,151.31

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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.