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Finding the Fourth Proportional to 22,063.24, 33,095.34 and 8,209.48

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Solution

The fourth proportional to 22,063.24, 33,095.34 and 8,209.48 is: 12,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,063.24 : 33,095.34 = 8,209.48 : x
  2. Step 2: Convert to fraction form
    22,063.24/33,095.34 = 8,209.48/x
  3. Step 3: Cross multiply
    22,063.24x = 33,095.34 × 8,209.48
  4. Step 4: Simplify right side
    22,063.24x = 271,695,531.82
  5. Step 5: Solve for x
    x = 271,695,531.82/22,063.24
  6. Step 6: Final answer
    x = 12,314.40

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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.