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Finding the Fourth Proportional to 17,722.22, 26,565.09 and 7,866.14

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Solution

The fourth proportional to 17,722.22, 26,565.09 and 7,866.14 is: 11,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.22 : 26,565.09 = 7,866.14 : x
  2. Step 2: Convert to fraction form
    17,722.22/26,565.09 = 7,866.14/x
  3. Step 3: Cross multiply
    17,722.22x = 26,565.09 × 7,866.14
  4. Step 4: Simplify right side
    17,722.22x = 208,964,717.05
  5. Step 5: Solve for x
    x = 208,964,717.05/17,722.22
  6. Step 6: Final answer
    x = 11,791.11

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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.