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Finding the Fourth Proportional to 22,859.36, 34,291.78 and 8,065.22

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Solution

The fourth proportional to 22,859.36, 34,291.78 and 8,065.22 is: 12,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,859.36 : 34,291.78 = 8,065.22 : x
  2. Step 2: Convert to fraction form
    22,859.36/34,291.78 = 8,065.22/x
  3. Step 3: Cross multiply
    22,859.36x = 34,291.78 × 8,065.22
  4. Step 4: Simplify right side
    22,859.36x = 276,570,749.89
  5. Step 5: Solve for x
    x = 276,570,749.89/22,859.36
  6. Step 6: Final answer
    x = 12,098.80

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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.