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Finding the Fourth Proportional to 22,508.97, 33,765.09 and 7,717.76

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Solution

The fourth proportional to 22,508.97, 33,765.09 and 7,717.76 is: 11,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,508.97 : 33,765.09 = 7,717.76 : x
  2. Step 2: Convert to fraction form
    22,508.97/33,765.09 = 7,717.76/x
  3. Step 3: Cross multiply
    22,508.97x = 33,765.09 × 7,717.76
  4. Step 4: Simplify right side
    22,508.97x = 260,590,861.00
  5. Step 5: Solve for x
    x = 260,590,861.00/22,508.97
  6. Step 6: Final answer
    x = 11,577.20

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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.