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Finding the Fourth Proportional to 17,735.22, 24,476.31 and 10,661.49

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Solution

The fourth proportional to 17,735.22, 24,476.31 and 10,661.49 is: 14,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.22 : 24,476.31 = 10,661.49 : x
  2. Step 2: Convert to fraction form
    17,735.22/24,476.31 = 10,661.49/x
  3. Step 3: Cross multiply
    17,735.22x = 24,476.31 × 10,661.49
  4. Step 4: Simplify right side
    17,735.22x = 260,953,934.30
  5. Step 5: Solve for x
    x = 260,953,934.30/17,735.22
  6. Step 6: Final answer
    x = 14,713.88

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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.