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Finding the Fourth Proportional to 22,106.85, 33,141.66 and 9,617.47

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Solution

The fourth proportional to 22,106.85, 33,141.66 and 9,617.47 is: 14,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.85 : 33,141.66 = 9,617.47 : x
  2. Step 2: Convert to fraction form
    22,106.85/33,141.66 = 9,617.47/x
  3. Step 3: Cross multiply
    22,106.85x = 33,141.66 × 9,617.47
  4. Step 4: Simplify right side
    22,106.85x = 318,738,920.80
  5. Step 5: Solve for x
    x = 318,738,920.80/22,106.85
  6. Step 6: Final answer
    x = 14,418.11

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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.