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Finding the Fourth Proportional to 22,538.78, 31,103.24 and 12,466.44

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Solution

The fourth proportional to 22,538.78, 31,103.24 and 12,466.44 is: 17,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.78 : 31,103.24 = 12,466.44 : x
  2. Step 2: Convert to fraction form
    22,538.78/31,103.24 = 12,466.44/x
  3. Step 3: Cross multiply
    22,538.78x = 31,103.24 × 12,466.44
  4. Step 4: Simplify right side
    22,538.78x = 387,746,675.27
  5. Step 5: Solve for x
    x = 387,746,675.27/22,538.78
  6. Step 6: Final answer
    x = 17,203.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.