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Finding the Fourth Proportional to 17,955.97, 24,783 and 10,786.21

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Solution

The fourth proportional to 17,955.97, 24,783 and 10,786.21 is: 14,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,955.97 : 24,783 = 10,786.21 : x
  2. Step 2: Convert to fraction form
    17,955.97/24,783 = 10,786.21/x
  3. Step 3: Cross multiply
    17,955.97x = 24,783 × 10,786.21
  4. Step 4: Simplify right side
    17,955.97x = 267,314,642.43
  5. Step 5: Solve for x
    x = 267,314,642.43/17,955.97
  6. Step 6: Final answer
    x = 14,887.23

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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.