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Finding the Fourth Proportional to 22,095.12, 33,142.68 and 8,938.44

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Solution

The fourth proportional to 22,095.12, 33,142.68 and 8,938.44 is: 13,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,095.12 : 33,142.68 = 8,938.44 : x
  2. Step 2: Convert to fraction form
    22,095.12/33,142.68 = 8,938.44/x
  3. Step 3: Cross multiply
    22,095.12x = 33,142.68 × 8,938.44
  4. Step 4: Simplify right side
    22,095.12x = 296,243,856.62
  5. Step 5: Solve for x
    x = 296,243,856.62/22,095.12
  6. Step 6: Final answer
    x = 13,407.66

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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.