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Finding the Fourth Proportional to 12,092.14, 16,694.76 and 9,859.28

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Solution

The fourth proportional to 12,092.14, 16,694.76 and 9,859.28 is: 13,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.14 : 16,694.76 = 9,859.28 : x
  2. Step 2: Convert to fraction form
    12,092.14/16,694.76 = 9,859.28/x
  3. Step 3: Cross multiply
    12,092.14x = 16,694.76 × 9,859.28
  4. Step 4: Simplify right side
    12,092.14x = 164,598,313.37
  5. Step 5: Solve for x
    x = 164,598,313.37/12,092.14
  6. Step 6: Final answer
    x = 13,612.01

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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.