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Finding the Fourth Proportional to 22,091.08, 33,135.54 and 8,239

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Solution

The fourth proportional to 22,091.08, 33,135.54 and 8,239 is: 12,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,091.08 : 33,135.54 = 8,239 : x
  2. Step 2: Convert to fraction form
    22,091.08/33,135.54 = 8,239/x
  3. Step 3: Cross multiply
    22,091.08x = 33,135.54 × 8,239
  4. Step 4: Simplify right side
    22,091.08x = 273,003,714.06
  5. Step 5: Solve for x
    x = 273,003,714.06/22,091.08
  6. Step 6: Final answer
    x = 12,358.10

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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.