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Finding the Fourth Proportional to 22,097.44, 33,145.98 and 6,514.84

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Solution

The fourth proportional to 22,097.44, 33,145.98 and 6,514.84 is: 9,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.44 : 33,145.98 = 6,514.84 : x
  2. Step 2: Convert to fraction form
    22,097.44/33,145.98 = 6,514.84/x
  3. Step 3: Cross multiply
    22,097.44x = 33,145.98 × 6,514.84
  4. Step 4: Simplify right side
    22,097.44x = 215,940,756.34
  5. Step 5: Solve for x
    x = 215,940,756.34/22,097.44
  6. Step 6: Final answer
    x = 9,772.21

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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.