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Finding the Fourth Proportional to 14,286.20, 21,431.82 and 4,927.22

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Solution

The fourth proportional to 14,286.20, 21,431.82 and 4,927.22 is: 7,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.20 : 21,431.82 = 4,927.22 : x
  2. Step 2: Convert to fraction form
    14,286.20/21,431.82 = 4,927.22/x
  3. Step 3: Cross multiply
    14,286.20x = 21,431.82 × 4,927.22
  4. Step 4: Simplify right side
    14,286.20x = 105,599,292.14
  5. Step 5: Solve for x
    x = 105,599,292.14/14,286.20
  6. Step 6: Final answer
    x = 7,391.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.