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Finding the Fourth Proportional to 23,219.52, 34,836.03 and 8,428.20

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Solution

The fourth proportional to 23,219.52, 34,836.03 and 8,428.20 is: 12,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,219.52 : 34,836.03 = 8,428.20 : x
  2. Step 2: Convert to fraction form
    23,219.52/34,836.03 = 8,428.20/x
  3. Step 3: Cross multiply
    23,219.52x = 34,836.03 × 8,428.20
  4. Step 4: Simplify right side
    23,219.52x = 293,605,028.05
  5. Step 5: Solve for x
    x = 293,605,028.05/23,219.52
  6. Step 6: Final answer
    x = 12,644.75

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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.