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Finding the Fourth Proportional to 22,165.26, 33,219.02 and 9,002.25

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Solution

The fourth proportional to 22,165.26, 33,219.02 and 9,002.25 is: 13,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.26 : 33,219.02 = 9,002.25 : x
  2. Step 2: Convert to fraction form
    22,165.26/33,219.02 = 9,002.25/x
  3. Step 3: Cross multiply
    22,165.26x = 33,219.02 × 9,002.25
  4. Step 4: Simplify right side
    22,165.26x = 299,045,945.30
  5. Step 5: Solve for x
    x = 299,045,945.30/22,165.26
  6. Step 6: Final answer
    x = 13,491.65

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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.