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Finding the Fourth Proportional to 22,819.50, 31,491.60 and 12,748.38

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Solution

The fourth proportional to 22,819.50, 31,491.60 and 12,748.38 is: 17,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,819.50 : 31,491.60 = 12,748.38 : x
  2. Step 2: Convert to fraction form
    22,819.50/31,491.60 = 12,748.38/x
  3. Step 3: Cross multiply
    22,819.50x = 31,491.60 × 12,748.38
  4. Step 4: Simplify right side
    22,819.50x = 401,466,883.61
  5. Step 5: Solve for x
    x = 401,466,883.61/22,819.50
  6. Step 6: Final answer
    x = 17,593.15

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Why These Related Problems?

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