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Finding the Fourth Proportional to 21,552.61, 32,286.89 and 12,164.23

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Solution

The fourth proportional to 21,552.61, 32,286.89 and 12,164.23 is: 18,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,552.61 : 32,286.89 = 12,164.23 : x
  2. Step 2: Convert to fraction form
    21,552.61/32,286.89 = 12,164.23/x
  3. Step 3: Cross multiply
    21,552.61x = 32,286.89 × 12,164.23
  4. Step 4: Simplify right side
    21,552.61x = 392,745,014.41
  5. Step 5: Solve for x
    x = 392,745,014.41/21,552.61
  6. Step 6: Final answer
    x = 18,222.62

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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.