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Finding the Fourth Proportional to 23,216, 34,823.78 and 5,685.84

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Solution

The fourth proportional to 23,216, 34,823.78 and 5,685.84 is: 8,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216 : 34,823.78 = 5,685.84 : x
  2. Step 2: Convert to fraction form
    23,216/34,823.78 = 5,685.84/x
  3. Step 3: Cross multiply
    23,216x = 34,823.78 × 5,685.84
  4. Step 4: Simplify right side
    23,216x = 198,002,441.28
  5. Step 5: Solve for x
    x = 198,002,441.28/23,216
  6. Step 6: Final answer
    x = 8,528.71

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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.