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Finding the Fourth Proportional to 17,940.16, 24,752.82 and 10,864

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Solution

The fourth proportional to 17,940.16, 24,752.82 and 10,864 is: 14,989.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,940.16 : 24,752.82 = 10,864 : x
  2. Step 2: Convert to fraction form
    17,940.16/24,752.82 = 10,864/x
  3. Step 3: Cross multiply
    17,940.16x = 24,752.82 × 10,864
  4. Step 4: Simplify right side
    17,940.16x = 268,914,636.48
  5. Step 5: Solve for x
    x = 268,914,636.48/17,940.16
  6. Step 6: Final answer
    x = 14,989.53

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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.