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Finding the Fourth Proportional to 22,514.28, 33,768.86 and 6,097

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Solution

The fourth proportional to 22,514.28, 33,768.86 and 6,097 is: 9,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.28 : 33,768.86 = 6,097 : x
  2. Step 2: Convert to fraction form
    22,514.28/33,768.86 = 6,097/x
  3. Step 3: Cross multiply
    22,514.28x = 33,768.86 × 6,097
  4. Step 4: Simplify right side
    22,514.28x = 205,888,739.42
  5. Step 5: Solve for x
    x = 205,888,739.42/22,514.28
  6. Step 6: Final answer
    x = 9,144.81

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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.