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Finding the Fourth Proportional to 17,901, 24,704.24 and 9,942.76

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Solution

The fourth proportional to 17,901, 24,704.24 and 9,942.76 is: 13,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,901 : 24,704.24 = 9,942.76 : x
  2. Step 2: Convert to fraction form
    17,901/24,704.24 = 9,942.76/x
  3. Step 3: Cross multiply
    17,901x = 24,704.24 × 9,942.76
  4. Step 4: Simplify right side
    17,901x = 245,628,329.30
  5. Step 5: Solve for x
    x = 245,628,329.30/17,901
  6. Step 6: Final answer
    x = 13,721.49

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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.