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Finding the Fourth Proportional to 14,222.00, 21,286.53 and 12,857.87

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Solution

The fourth proportional to 14,222.00, 21,286.53 and 12,857.87 is: 19,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.00 : 21,286.53 = 12,857.87 : x
  2. Step 2: Convert to fraction form
    14,222.00/21,286.53 = 12,857.87/x
  3. Step 3: Cross multiply
    14,222.00x = 21,286.53 × 12,857.87
  4. Step 4: Simplify right side
    14,222.00x = 273,699,488.71
  5. Step 5: Solve for x
    x = 273,699,488.71/14,222.00
  6. Step 6: Final answer
    x = 19,244.79

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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.