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Finding the Fourth Proportional to 22,167.61, 33,266.48 and 9,022.38

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Solution

The fourth proportional to 22,167.61, 33,266.48 and 9,022.38 is: 13,539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,167.61 : 33,266.48 = 9,022.38 : x
  2. Step 2: Convert to fraction form
    22,167.61/33,266.48 = 9,022.38/x
  3. Step 3: Cross multiply
    22,167.61x = 33,266.48 × 9,022.38
  4. Step 4: Simplify right side
    22,167.61x = 300,142,704.71
  5. Step 5: Solve for x
    x = 300,142,704.71/22,167.61
  6. Step 6: Final answer
    x = 13,539.69

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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.