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Finding the Fourth Proportional to 12,057.92, 16,641.50 and 7,022.22

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Solution

The fourth proportional to 12,057.92, 16,641.50 and 7,022.22 is: 9,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.92 : 16,641.50 = 7,022.22 : x
  2. Step 2: Convert to fraction form
    12,057.92/16,641.50 = 7,022.22/x
  3. Step 3: Cross multiply
    12,057.92x = 16,641.50 × 7,022.22
  4. Step 4: Simplify right side
    12,057.92x = 116,860,274.13
  5. Step 5: Solve for x
    x = 116,860,274.13/12,057.92
  6. Step 6: Final answer
    x = 9,691.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.