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Finding the Fourth Proportional to 22,431.24, 33,642.18 and 7,640.04

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Solution

The fourth proportional to 22,431.24, 33,642.18 and 7,640.04 is: 11,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.24 : 33,642.18 = 7,640.04 : x
  2. Step 2: Convert to fraction form
    22,431.24/33,642.18 = 7,640.04/x
  3. Step 3: Cross multiply
    22,431.24x = 33,642.18 × 7,640.04
  4. Step 4: Simplify right side
    22,431.24x = 257,027,600.89
  5. Step 5: Solve for x
    x = 257,027,600.89/22,431.24
  6. Step 6: Final answer
    x = 11,458.47

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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.