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Finding the Fourth Proportional to 22,165.50, 30,588.39 and 12,229.50

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Solution

The fourth proportional to 22,165.50, 30,588.39 and 12,229.50 is: 16,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.50 : 30,588.39 = 12,229.50 : x
  2. Step 2: Convert to fraction form
    22,165.50/30,588.39 = 12,229.50/x
  3. Step 3: Cross multiply
    22,165.50x = 30,588.39 × 12,229.50
  4. Step 4: Simplify right side
    22,165.50x = 374,080,715.51
  5. Step 5: Solve for x
    x = 374,080,715.51/22,165.50
  6. Step 6: Final answer
    x = 16,876.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.