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Finding the Fourth Proportional to 19,616.75, 27,071.38 and 10,664.25

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Solution

The fourth proportional to 19,616.75, 27,071.38 and 10,664.25 is: 14,716.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.75 : 27,071.38 = 10,664.25 : x
  2. Step 2: Convert to fraction form
    19,616.75/27,071.38 = 10,664.25/x
  3. Step 3: Cross multiply
    19,616.75x = 27,071.38 × 10,664.25
  4. Step 4: Simplify right side
    19,616.75x = 288,695,964.17
  5. Step 5: Solve for x
    x = 288,695,964.17/19,616.75
  6. Step 6: Final answer
    x = 14,716.81

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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.