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Finding the Fourth Proportional to 12,887.31, 17,778.18 and 8,113.17

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Solution

The fourth proportional to 12,887.31, 17,778.18 and 8,113.17 is: 11,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.31 : 17,778.18 = 8,113.17 : x
  2. Step 2: Convert to fraction form
    12,887.31/17,778.18 = 8,113.17/x
  3. Step 3: Cross multiply
    12,887.31x = 17,778.18 × 8,113.17
  4. Step 4: Simplify right side
    12,887.31x = 144,237,396.63
  5. Step 5: Solve for x
    x = 144,237,396.63/12,887.31
  6. Step 6: Final answer
    x = 11,192.20

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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.