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Finding the Fourth Proportional to 12,561.37, 17,334.91 and 6,896.65

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Solution

The fourth proportional to 12,561.37, 17,334.91 and 6,896.65 is: 9,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.37 : 17,334.91 = 6,896.65 : x
  2. Step 2: Convert to fraction form
    12,561.37/17,334.91 = 6,896.65/x
  3. Step 3: Cross multiply
    12,561.37x = 17,334.91 × 6,896.65
  4. Step 4: Simplify right side
    12,561.37x = 119,552,807.05
  5. Step 5: Solve for x
    x = 119,552,807.05/12,561.37
  6. Step 6: Final answer
    x = 9,517.50

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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.