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Finding the Fourth Proportional to 22,438.24, 33,657.90 and 9,287.08

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Solution

The fourth proportional to 22,438.24, 33,657.90 and 9,287.08 is: 13,930.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.24 : 33,657.90 = 9,287.08 : x
  2. Step 2: Convert to fraction form
    22,438.24/33,657.90 = 9,287.08/x
  3. Step 3: Cross multiply
    22,438.24x = 33,657.90 × 9,287.08
  4. Step 4: Simplify right side
    22,438.24x = 312,583,609.93
  5. Step 5: Solve for x
    x = 312,583,609.93/22,438.24
  6. Step 6: Final answer
    x = 13,930.84

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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.