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Finding the Fourth Proportional to 22,626.36, 33,960.36 and 11,541

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Solution

The fourth proportional to 22,626.36, 33,960.36 and 11,541 is: 17,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.36 : 33,960.36 = 11,541 : x
  2. Step 2: Convert to fraction form
    22,626.36/33,960.36 = 11,541/x
  3. Step 3: Cross multiply
    22,626.36x = 33,960.36 × 11,541
  4. Step 4: Simplify right side
    22,626.36x = 391,936,514.76
  5. Step 5: Solve for x
    x = 391,936,514.76/22,626.36
  6. Step 6: Final answer
    x = 17,322.12

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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.