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Finding the Fourth Proportional to 12,661.68, 17,471.94 and 7,356.42

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Solution

The fourth proportional to 12,661.68, 17,471.94 and 7,356.42 is: 10,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.68 : 17,471.94 = 7,356.42 : x
  2. Step 2: Convert to fraction form
    12,661.68/17,471.94 = 7,356.42/x
  3. Step 3: Cross multiply
    12,661.68x = 17,471.94 × 7,356.42
  4. Step 4: Simplify right side
    12,661.68x = 128,530,928.85
  5. Step 5: Solve for x
    x = 128,530,928.85/12,661.68
  6. Step 6: Final answer
    x = 10,151.17

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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.