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Finding the Fourth Proportional to 10,181.70, 14,058.77 and 9,182.97

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Solution

The fourth proportional to 10,181.70, 14,058.77 and 9,182.97 is: 12,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.70 : 14,058.77 = 9,182.97 : x
  2. Step 2: Convert to fraction form
    10,181.70/14,058.77 = 9,182.97/x
  3. Step 3: Cross multiply
    10,181.70x = 14,058.77 × 9,182.97
  4. Step 4: Simplify right side
    10,181.70x = 129,101,217.23
  5. Step 5: Solve for x
    x = 129,101,217.23/10,181.70
  6. Step 6: Final answer
    x = 12,679.73

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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.