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Finding the Fourth Proportional to 22,542.68, 33,816.26 and 7,749.65

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Solution

The fourth proportional to 22,542.68, 33,816.26 and 7,749.65 is: 11,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.68 : 33,816.26 = 7,749.65 : x
  2. Step 2: Convert to fraction form
    22,542.68/33,816.26 = 7,749.65/x
  3. Step 3: Cross multiply
    22,542.68x = 33,816.26 × 7,749.65
  4. Step 4: Simplify right side
    22,542.68x = 262,064,283.22
  5. Step 5: Solve for x
    x = 262,064,283.22/22,542.68
  6. Step 6: Final answer
    x = 11,625.25

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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.