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Finding the Fourth Proportional to 14,286, 21,441.99 and 7,270.74

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Solution

The fourth proportional to 14,286, 21,441.99 and 7,270.74 is: 10,912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286 : 21,441.99 = 7,270.74 : x
  2. Step 2: Convert to fraction form
    14,286/21,441.99 = 7,270.74/x
  3. Step 3: Cross multiply
    14,286x = 21,441.99 × 7,270.74
  4. Step 4: Simplify right side
    14,286x = 155,899,134.37
  5. Step 5: Solve for x
    x = 155,899,134.37/14,286
  6. Step 6: Final answer
    x = 10,912.72

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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.