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Finding the Fourth Proportional to 17,926.28, 24,738.71 and 9,969

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Solution

The fourth proportional to 17,926.28, 24,738.71 and 9,969 is: 13,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,926.28 : 24,738.71 = 9,969 : x
  2. Step 2: Convert to fraction form
    17,926.28/24,738.71 = 9,969/x
  3. Step 3: Cross multiply
    17,926.28x = 24,738.71 × 9,969
  4. Step 4: Simplify right side
    17,926.28x = 246,620,150.15
  5. Step 5: Solve for x
    x = 246,620,150.15/17,926.28
  6. Step 6: Final answer
    x = 13,757.47

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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.