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Finding the Fourth Proportional to 12,608.17, 17,399.14 and 6,942.81

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Solution

The fourth proportional to 12,608.17, 17,399.14 and 6,942.81 is: 9,581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.17 : 17,399.14 = 6,942.81 : x
  2. Step 2: Convert to fraction form
    12,608.17/17,399.14 = 6,942.81/x
  3. Step 3: Cross multiply
    12,608.17x = 17,399.14 × 6,942.81
  4. Step 4: Simplify right side
    12,608.17x = 120,798,923.18
  5. Step 5: Solve for x
    x = 120,798,923.18/12,608.17
  6. Step 6: Final answer
    x = 9,581.00

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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.