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Finding the Fourth Proportional to 22,044.09, 33,071.73 and 10,206.40

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Solution

The fourth proportional to 22,044.09, 33,071.73 and 10,206.40 is: 15,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,044.09 : 33,071.73 = 10,206.40 : x
  2. Step 2: Convert to fraction form
    22,044.09/33,071.73 = 10,206.40/x
  3. Step 3: Cross multiply
    22,044.09x = 33,071.73 × 10,206.40
  4. Step 4: Simplify right side
    22,044.09x = 337,543,305.07
  5. Step 5: Solve for x
    x = 337,543,305.07/22,044.09
  6. Step 6: Final answer
    x = 15,312.19

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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.