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Finding the Fourth Proportional to 22,534.38, 33,821.99 and 12,013.22

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Solution

The fourth proportional to 22,534.38, 33,821.99 and 12,013.22 is: 18,030.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.38 : 33,821.99 = 12,013.22 : x
  2. Step 2: Convert to fraction form
    22,534.38/33,821.99 = 12,013.22/x
  3. Step 3: Cross multiply
    22,534.38x = 33,821.99 × 12,013.22
  4. Step 4: Simplify right side
    22,534.38x = 406,311,006.71
  5. Step 5: Solve for x
    x = 406,311,006.71/22,534.38
  6. Step 6: Final answer
    x = 18,030.72

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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.