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Finding the Fourth Proportional to 22,286.64, 30,755.88 and 12,216

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Solution

The fourth proportional to 22,286.64, 30,755.88 and 12,216 is: 16,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.64 : 30,755.88 = 12,216 : x
  2. Step 2: Convert to fraction form
    22,286.64/30,755.88 = 12,216/x
  3. Step 3: Cross multiply
    22,286.64x = 30,755.88 × 12,216
  4. Step 4: Simplify right side
    22,286.64x = 375,713,830.08
  5. Step 5: Solve for x
    x = 375,713,830.08/22,286.64
  6. Step 6: Final answer
    x = 16,858.25

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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.