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Finding the Fourth Proportional to 12,371.61, 17,074.31 and 6,994.29

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Solution

The fourth proportional to 12,371.61, 17,074.31 and 6,994.29 is: 9,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.61 : 17,074.31 = 6,994.29 : x
  2. Step 2: Convert to fraction form
    12,371.61/17,074.31 = 6,994.29/x
  3. Step 3: Cross multiply
    12,371.61x = 17,074.31 × 6,994.29
  4. Step 4: Simplify right side
    12,371.61x = 119,422,640.72
  5. Step 5: Solve for x
    x = 119,422,640.72/12,371.61
  6. Step 6: Final answer
    x = 9,652.96

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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.