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Finding the Fourth Proportional to 22,057.51, 33,091.78 and 6,475.14

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Solution

The fourth proportional to 22,057.51, 33,091.78 and 6,475.14 is: 9,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.51 : 33,091.78 = 6,475.14 : x
  2. Step 2: Convert to fraction form
    22,057.51/33,091.78 = 6,475.14/x
  3. Step 3: Cross multiply
    22,057.51x = 33,091.78 × 6,475.14
  4. Step 4: Simplify right side
    22,057.51x = 214,273,908.35
  5. Step 5: Solve for x
    x = 214,273,908.35/22,057.51
  6. Step 6: Final answer
    x = 9,714.33

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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.