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Finding the Fourth Proportional to 19,169.65, 28,757.31 and 9,814.96

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Solution

The fourth proportional to 19,169.65, 28,757.31 and 9,814.96 is: 14,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,169.65 : 28,757.31 = 9,814.96 : x
  2. Step 2: Convert to fraction form
    19,169.65/28,757.31 = 9,814.96/x
  3. Step 3: Cross multiply
    19,169.65x = 28,757.31 × 9,814.96
  4. Step 4: Simplify right side
    19,169.65x = 282,251,847.36
  5. Step 5: Solve for x
    x = 282,251,847.36/19,169.65
  6. Step 6: Final answer
    x = 14,723.89

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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.