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Finding the Fourth Proportional to 12,966.91, 17,887.13 and 8,497.87

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Solution

The fourth proportional to 12,966.91, 17,887.13 and 8,497.87 is: 11,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.91 : 17,887.13 = 8,497.87 : x
  2. Step 2: Convert to fraction form
    12,966.91/17,887.13 = 8,497.87/x
  3. Step 3: Cross multiply
    12,966.91x = 17,887.13 × 8,497.87
  4. Step 4: Simplify right side
    12,966.91x = 152,002,450.07
  5. Step 5: Solve for x
    x = 152,002,450.07/12,966.91
  6. Step 6: Final answer
    x = 11,722.34

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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.