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Finding the Fourth Proportional to 15,696.30, 21,660.78 and 9,408.66

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Solution

The fourth proportional to 15,696.30, 21,660.78 and 9,408.66 is: 12,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696.30 : 21,660.78 = 9,408.66 : x
  2. Step 2: Convert to fraction form
    15,696.30/21,660.78 = 9,408.66/x
  3. Step 3: Cross multiply
    15,696.30x = 21,660.78 × 9,408.66
  4. Step 4: Simplify right side
    15,696.30x = 203,798,914.35
  5. Step 5: Solve for x
    x = 203,798,914.35/15,696.30
  6. Step 6: Final answer
    x = 12,983.88

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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.