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Finding the Fourth Proportional to 22,819.75, 31,491.10 and 12,748.10

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Solution

The fourth proportional to 22,819.75, 31,491.10 and 12,748.10 is: 17,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,819.75 : 31,491.10 = 12,748.10 : x
  2. Step 2: Convert to fraction form
    22,819.75/31,491.10 = 12,748.10/x
  3. Step 3: Cross multiply
    22,819.75x = 31,491.10 × 12,748.10
  4. Step 4: Simplify right side
    22,819.75x = 401,451,470.71
  5. Step 5: Solve for x
    x = 401,451,470.71/22,819.75
  6. Step 6: Final answer
    x = 17,592.29

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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.