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Finding the Fourth Proportional to 22,819.25, 34,224.76 and 6,177.09

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Solution

The fourth proportional to 22,819.25, 34,224.76 and 6,177.09 is: 9,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,819.25 : 34,224.76 = 6,177.09 : x
  2. Step 2: Convert to fraction form
    22,819.25/34,224.76 = 6,177.09/x
  3. Step 3: Cross multiply
    22,819.25x = 34,224.76 × 6,177.09
  4. Step 4: Simplify right side
    22,819.25x = 211,409,558.81
  5. Step 5: Solve for x
    x = 211,409,558.81/22,819.25
  6. Step 6: Final answer
    x = 9,264.53

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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.