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Finding the Fourth Proportional to 23,076.06, 34,618.73 and 8,286.14

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Solution

The fourth proportional to 23,076.06, 34,618.73 and 8,286.14 is: 12,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076.06 : 34,618.73 = 8,286.14 : x
  2. Step 2: Convert to fraction form
    23,076.06/34,618.73 = 8,286.14/x
  3. Step 3: Cross multiply
    23,076.06x = 34,618.73 × 8,286.14
  4. Step 4: Simplify right side
    23,076.06x = 286,855,428.88
  5. Step 5: Solve for x
    x = 286,855,428.88/23,076.06
  6. Step 6: Final answer
    x = 12,430.87

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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.