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Finding the Fourth Proportional to 21,962.96, 30,308.68 and 11,891.14

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Solution

The fourth proportional to 21,962.96, 30,308.68 and 11,891.14 is: 16,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.96 : 30,308.68 = 11,891.14 : x
  2. Step 2: Convert to fraction form
    21,962.96/30,308.68 = 11,891.14/x
  3. Step 3: Cross multiply
    21,962.96x = 30,308.68 × 11,891.14
  4. Step 4: Simplify right side
    21,962.96x = 360,404,757.10
  5. Step 5: Solve for x
    x = 360,404,757.10/21,962.96
  6. Step 6: Final answer
    x = 16,409.66

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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.