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Finding the Fourth Proportional to 21,867.66, 32,793.46 and 7,823.88

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Solution

The fourth proportional to 21,867.66, 32,793.46 and 7,823.88 is: 11,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867.66 : 32,793.46 = 7,823.88 : x
  2. Step 2: Convert to fraction form
    21,867.66/32,793.46 = 7,823.88/x
  3. Step 3: Cross multiply
    21,867.66x = 32,793.46 × 7,823.88
  4. Step 4: Simplify right side
    21,867.66x = 256,572,076.27
  5. Step 5: Solve for x
    x = 256,572,076.27/21,867.66
  6. Step 6: Final answer
    x = 11,732.95

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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.