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Finding the Fourth Proportional to 22,072.25, 30,459.56 and 12,000.69

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Solution

The fourth proportional to 22,072.25, 30,459.56 and 12,000.69 is: 16,560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,072.25 : 30,459.56 = 12,000.69 : x
  2. Step 2: Convert to fraction form
    22,072.25/30,459.56 = 12,000.69/x
  3. Step 3: Cross multiply
    22,072.25x = 30,459.56 × 12,000.69
  4. Step 4: Simplify right side
    22,072.25x = 365,535,677.09
  5. Step 5: Solve for x
    x = 365,535,677.09/22,072.25
  6. Step 6: Final answer
    x = 16,560.87

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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.