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Finding the Fourth Proportional to 22,410.96, 33,609.24 and 7,414.74

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Solution

The fourth proportional to 22,410.96, 33,609.24 and 7,414.74 is: 11,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,410.96 : 33,609.24 = 7,414.74 : x
  2. Step 2: Convert to fraction form
    22,410.96/33,609.24 = 7,414.74/x
  3. Step 3: Cross multiply
    22,410.96x = 33,609.24 × 7,414.74
  4. Step 4: Simplify right side
    22,410.96x = 249,203,776.20
  5. Step 5: Solve for x
    x = 249,203,776.20/22,410.96
  6. Step 6: Final answer
    x = 11,119.73

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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.