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Finding the Fourth Proportional to 18,463.57, 27,713.82 and 9,716.92

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Solution

The fourth proportional to 18,463.57, 27,713.82 and 9,716.92 is: 14,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,463.57 : 27,713.82 = 9,716.92 : x
  2. Step 2: Convert to fraction form
    18,463.57/27,713.82 = 9,716.92/x
  3. Step 3: Cross multiply
    18,463.57x = 27,713.82 × 9,716.92
  4. Step 4: Simplify right side
    18,463.57x = 269,292,971.83
  5. Step 5: Solve for x
    x = 269,292,971.83/18,463.57
  6. Step 6: Final answer
    x = 14,585.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.