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Finding the Fourth Proportional to 12,661.10, 17,471.42 and 6,995.78

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Solution

The fourth proportional to 12,661.10, 17,471.42 and 6,995.78 is: 9,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.10 : 17,471.42 = 6,995.78 : x
  2. Step 2: Convert to fraction form
    12,661.10/17,471.42 = 6,995.78/x
  3. Step 3: Cross multiply
    12,661.10x = 17,471.42 × 6,995.78
  4. Step 4: Simplify right side
    12,661.10x = 122,226,219.31
  5. Step 5: Solve for x
    x = 122,226,219.31/12,661.10
  6. Step 6: Final answer
    x = 9,653.68

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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.