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Finding the Fourth Proportional to 22,811.35, 34,215.99 and 7,819.80

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Solution

The fourth proportional to 22,811.35, 34,215.99 and 7,819.80 is: 11,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.35 : 34,215.99 = 7,819.80 : x
  2. Step 2: Convert to fraction form
    22,811.35/34,215.99 = 7,819.80/x
  3. Step 3: Cross multiply
    22,811.35x = 34,215.99 × 7,819.80
  4. Step 4: Simplify right side
    22,811.35x = 267,562,165.81
  5. Step 5: Solve for x
    x = 267,562,165.81/22,811.35
  6. Step 6: Final answer
    x = 11,729.34

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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.