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Finding the Fourth Proportional to 22,422.33, 33,633.14 and 7,641.54

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Solution

The fourth proportional to 22,422.33, 33,633.14 and 7,641.54 is: 11,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422.33 : 33,633.14 = 7,641.54 : x
  2. Step 2: Convert to fraction form
    22,422.33/33,633.14 = 7,641.54/x
  3. Step 3: Cross multiply
    22,422.33x = 33,633.14 × 7,641.54
  4. Step 4: Simplify right side
    22,422.33x = 257,008,946.43
  5. Step 5: Solve for x
    x = 257,008,946.43/22,422.33
  6. Step 6: Final answer
    x = 11,462.19

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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.