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Finding the Fourth Proportional to 23,049.36, 34,569.68 and 8,257.68

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Solution

The fourth proportional to 23,049.36, 34,569.68 and 8,257.68 is: 12,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049.36 : 34,569.68 = 8,257.68 : x
  2. Step 2: Convert to fraction form
    23,049.36/34,569.68 = 8,257.68/x
  3. Step 3: Cross multiply
    23,049.36x = 34,569.68 × 8,257.68
  4. Step 4: Simplify right side
    23,049.36x = 285,465,355.14
  5. Step 5: Solve for x
    x = 285,465,355.14/23,049.36
  6. Step 6: Final answer
    x = 12,384.96

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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.