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Finding the Fourth Proportional to 12,717.64, 17,550.66 and 7,681.96

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Solution

The fourth proportional to 12,717.64, 17,550.66 and 7,681.96 is: 10,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.64 : 17,550.66 = 7,681.96 : x
  2. Step 2: Convert to fraction form
    12,717.64/17,550.66 = 7,681.96/x
  3. Step 3: Cross multiply
    12,717.64x = 17,550.66 × 7,681.96
  4. Step 4: Simplify right side
    12,717.64x = 134,823,468.09
  5. Step 5: Solve for x
    x = 134,823,468.09/12,717.64
  6. Step 6: Final answer
    x = 10,601.30

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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.