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Finding the Fourth Proportional to 22,298.86, 30,772.74 and 12,227.14

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Solution

The fourth proportional to 22,298.86, 30,772.74 and 12,227.14 is: 16,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.86 : 30,772.74 = 12,227.14 : x
  2. Step 2: Convert to fraction form
    22,298.86/30,772.74 = 12,227.14/x
  3. Step 3: Cross multiply
    22,298.86x = 30,772.74 × 12,227.14
  4. Step 4: Simplify right side
    22,298.86x = 376,262,600.16
  5. Step 5: Solve for x
    x = 376,262,600.16/22,298.86
  6. Step 6: Final answer
    x = 16,873.62

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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.