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Finding the Fourth Proportional to 17,822.56, 26,694 and 11,951.20

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Solution

The fourth proportional to 17,822.56, 26,694 and 11,951.20 is: 17,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.56 : 26,694 = 11,951.20 : x
  2. Step 2: Convert to fraction form
    17,822.56/26,694 = 11,951.20/x
  3. Step 3: Cross multiply
    17,822.56x = 26,694 × 11,951.20
  4. Step 4: Simplify right side
    17,822.56x = 319,025,332.80
  5. Step 5: Solve for x
    x = 319,025,332.80/17,822.56
  6. Step 6: Final answer
    x = 17,900.08

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