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Finding the Fourth Proportional to 22,504.97, 33,778.65 and 11,419.62

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Solution

The fourth proportional to 22,504.97, 33,778.65 and 11,419.62 is: 17,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.97 : 33,778.65 = 11,419.62 : x
  2. Step 2: Convert to fraction form
    22,504.97/33,778.65 = 11,419.62/x
  3. Step 3: Cross multiply
    22,504.97x = 33,778.65 × 11,419.62
  4. Step 4: Simplify right side
    22,504.97x = 385,739,347.11
  5. Step 5: Solve for x
    x = 385,739,347.11/22,504.97
  6. Step 6: Final answer
    x = 17,140.19

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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.