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Finding the Fourth Proportional to 12,561.68, 17,323.82 and 9,382.69

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Solution

The fourth proportional to 12,561.68, 17,323.82 and 9,382.69 is: 12,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.68 : 17,323.82 = 9,382.69 : x
  2. Step 2: Convert to fraction form
    12,561.68/17,323.82 = 9,382.69/x
  3. Step 3: Cross multiply
    12,561.68x = 17,323.82 × 9,382.69
  4. Step 4: Simplify right side
    12,561.68x = 162,543,997.93
  5. Step 5: Solve for x
    x = 162,543,997.93/12,561.68
  6. Step 6: Final answer
    x = 12,939.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.