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Finding the Fourth Proportional to 22,147.82, 33,235.29 and 8,827.20

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Solution

The fourth proportional to 22,147.82, 33,235.29 and 8,827.20 is: 13,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.82 : 33,235.29 = 8,827.20 : x
  2. Step 2: Convert to fraction form
    22,147.82/33,235.29 = 8,827.20/x
  3. Step 3: Cross multiply
    22,147.82x = 33,235.29 × 8,827.20
  4. Step 4: Simplify right side
    22,147.82x = 293,374,657.04
  5. Step 5: Solve for x
    x = 293,374,657.04/22,147.82
  6. Step 6: Final answer
    x = 13,246.21

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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.