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Finding the Fourth Proportional to 12,961.23, 17,895.11 and 9,971.79

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Solution

The fourth proportional to 12,961.23, 17,895.11 and 9,971.79 is: 13,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.23 : 17,895.11 = 9,971.79 : x
  2. Step 2: Convert to fraction form
    12,961.23/17,895.11 = 9,971.79/x
  3. Step 3: Cross multiply
    12,961.23x = 17,895.11 × 9,971.79
  4. Step 4: Simplify right side
    12,961.23x = 178,446,229.09
  5. Step 5: Solve for x
    x = 178,446,229.09/12,961.23
  6. Step 6: Final answer
    x = 13,767.69

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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.