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Finding the Fourth Proportional to 22,287.64, 30,756.46 and 12,215.84

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Solution

The fourth proportional to 22,287.64, 30,756.46 and 12,215.84 is: 16,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.64 : 30,756.46 = 12,215.84 : x
  2. Step 2: Convert to fraction form
    22,287.64/30,756.46 = 12,215.84/x
  3. Step 3: Cross multiply
    22,287.64x = 30,756.46 × 12,215.84
  4. Step 4: Simplify right side
    22,287.64x = 375,715,994.33
  5. Step 5: Solve for x
    x = 375,715,994.33/22,287.64
  6. Step 6: Final answer
    x = 16,857.59

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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.