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Finding the Fourth Proportional to 17,209.27, 25,814.31 and 9,760.51

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Solution

The fourth proportional to 17,209.27, 25,814.31 and 9,760.51 is: 14,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.27 : 25,814.31 = 9,760.51 : x
  2. Step 2: Convert to fraction form
    17,209.27/25,814.31 = 9,760.51/x
  3. Step 3: Cross multiply
    17,209.27x = 25,814.31 × 9,760.51
  4. Step 4: Simplify right side
    17,209.27x = 251,960,830.90
  5. Step 5: Solve for x
    x = 251,960,830.90/17,209.27
  6. Step 6: Final answer
    x = 14,640.99

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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.