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Finding the Fourth Proportional to 22,278.32, 30,744.09 and 12,207.15

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Solution

The fourth proportional to 22,278.32, 30,744.09 and 12,207.15 is: 16,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,278.32 : 30,744.09 = 12,207.15 : x
  2. Step 2: Convert to fraction form
    22,278.32/30,744.09 = 12,207.15/x
  3. Step 3: Cross multiply
    22,278.32x = 30,744.09 × 12,207.15
  4. Step 4: Simplify right side
    22,278.32x = 375,297,718.24
  5. Step 5: Solve for x
    x = 375,297,718.24/22,278.32
  6. Step 6: Final answer
    x = 16,845.87

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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.