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Finding the Fourth Proportional to 26,694, 40,047.96 and 7,974.06

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Solution

The fourth proportional to 26,694, 40,047.96 and 7,974.06 is: 11,963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,694 : 40,047.96 = 7,974.06 : x
  2. Step 2: Convert to fraction form
    26,694/40,047.96 = 7,974.06/x
  3. Step 3: Cross multiply
    26,694x = 40,047.96 × 7,974.06
  4. Step 4: Simplify right side
    26,694x = 319,344,835.92
  5. Step 5: Solve for x
    x = 319,344,835.92/26,694
  6. Step 6: Final answer
    x = 11,963.17

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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.