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Finding the Fourth Proportional to 12,885.93, 17,782.25 and 8,401.19

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Solution

The fourth proportional to 12,885.93, 17,782.25 and 8,401.19 is: 11,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.93 : 17,782.25 = 8,401.19 : x
  2. Step 2: Convert to fraction form
    12,885.93/17,782.25 = 8,401.19/x
  3. Step 3: Cross multiply
    12,885.93x = 17,782.25 × 8,401.19
  4. Step 4: Simplify right side
    12,885.93x = 149,391,929.96
  5. Step 5: Solve for x
    x = 149,391,929.96/12,885.93
  6. Step 6: Final answer
    x = 11,593.41

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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.