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Finding the Fourth Proportional to 23,848.39, 35,772.57 and 8,266

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Solution

The fourth proportional to 23,848.39, 35,772.57 and 8,266 is: 12,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,848.39 : 35,772.57 = 8,266 : x
  2. Step 2: Convert to fraction form
    23,848.39/35,772.57 = 8,266/x
  3. Step 3: Cross multiply
    23,848.39x = 35,772.57 × 8,266
  4. Step 4: Simplify right side
    23,848.39x = 295,696,063.62
  5. Step 5: Solve for x
    x = 295,696,063.62/23,848.39
  6. Step 6: Final answer
    x = 12,398.99

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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.