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Finding the Fourth Proportional to 22,772.86, 34,165.91 and 9,443.41

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Solution

The fourth proportional to 22,772.86, 34,165.91 and 9,443.41 is: 14,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772.86 : 34,165.91 = 9,443.41 : x
  2. Step 2: Convert to fraction form
    22,772.86/34,165.91 = 9,443.41/x
  3. Step 3: Cross multiply
    22,772.86x = 34,165.91 × 9,443.41
  4. Step 4: Simplify right side
    22,772.86x = 322,642,648.94
  5. Step 5: Solve for x
    x = 322,642,648.94/22,772.86
  6. Step 6: Final answer
    x = 14,167.86

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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.