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Finding the Fourth Proportional to 23,870.54, 35,805.78 and 8,288.30

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Solution

The fourth proportional to 23,870.54, 35,805.78 and 8,288.30 is: 12,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.54 : 35,805.78 = 8,288.30 : x
  2. Step 2: Convert to fraction form
    23,870.54/35,805.78 = 8,288.30/x
  3. Step 3: Cross multiply
    23,870.54x = 35,805.78 × 8,288.30
  4. Step 4: Simplify right side
    23,870.54x = 296,769,046.37
  5. Step 5: Solve for x
    x = 296,769,046.37/23,870.54
  6. Step 6: Final answer
    x = 12,432.44

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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.