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Finding the Fourth Proportional to 19,982.22, 29,948.22 and 9,452.22

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Solution

The fourth proportional to 19,982.22, 29,948.22 and 9,452.22 is: 14,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982.22 : 29,948.22 = 9,452.22 : x
  2. Step 2: Convert to fraction form
    19,982.22/29,948.22 = 9,452.22/x
  3. Step 3: Cross multiply
    19,982.22x = 29,948.22 × 9,452.22
  4. Step 4: Simplify right side
    19,982.22x = 283,077,164.05
  5. Step 5: Solve for x
    x = 283,077,164.05/19,982.22
  6. Step 6: Final answer
    x = 14,166.45

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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.