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Finding the Fourth Proportional to 14,711.65, 22,072.09 and 4,857.85

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Solution

The fourth proportional to 14,711.65, 22,072.09 and 4,857.85 is: 7,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.65 : 22,072.09 = 4,857.85 : x
  2. Step 2: Convert to fraction form
    14,711.65/22,072.09 = 4,857.85/x
  3. Step 3: Cross multiply
    14,711.65x = 22,072.09 × 4,857.85
  4. Step 4: Simplify right side
    14,711.65x = 107,222,896.33
  5. Step 5: Solve for x
    x = 107,222,896.33/14,711.65
  6. Step 6: Final answer
    x = 7,288.30

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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.