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Finding the Fourth Proportional to 22,044.13, 33,071.78 and 10,206.43

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Solution

The fourth proportional to 22,044.13, 33,071.78 and 10,206.43 is: 15,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,044.13 : 33,071.78 = 10,206.43 : x
  2. Step 2: Convert to fraction form
    22,044.13/33,071.78 = 10,206.43/x
  3. Step 3: Cross multiply
    22,044.13x = 33,071.78 × 10,206.43
  4. Step 4: Simplify right side
    22,044.13x = 337,544,750.38
  5. Step 5: Solve for x
    x = 337,544,750.38/22,044.13
  6. Step 6: Final answer
    x = 15,312.23

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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.