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Finding the Fourth Proportional to 22,309.22, 33,458.23 and 9,165.22

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Solution

The fourth proportional to 22,309.22, 33,458.23 and 9,165.22 is: 13,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.22 : 33,458.23 = 9,165.22 : x
  2. Step 2: Convert to fraction form
    22,309.22/33,458.23 = 9,165.22/x
  3. Step 3: Cross multiply
    22,309.22x = 33,458.23 × 9,165.22
  4. Step 4: Simplify right side
    22,309.22x = 306,652,038.76
  5. Step 5: Solve for x
    x = 306,652,038.76/22,309.22
  6. Step 6: Final answer
    x = 13,745.53

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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.