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Finding the Fourth Proportional to 11,688.27, 17,509.73 and 10,379.31

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Solution

The fourth proportional to 11,688.27, 17,509.73 and 10,379.31 is: 15,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.27 : 17,509.73 = 10,379.31 : x
  2. Step 2: Convert to fraction form
    11,688.27/17,509.73 = 10,379.31/x
  3. Step 3: Cross multiply
    11,688.27x = 17,509.73 × 10,379.31
  4. Step 4: Simplify right side
    11,688.27x = 181,738,863.79
  5. Step 5: Solve for x
    x = 181,738,863.79/11,688.27
  6. Step 6: Final answer
    x = 15,548.82

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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.