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Finding the Fourth Proportional to 17,497, 24,146.27 and 9,942.13

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Solution

The fourth proportional to 17,497, 24,146.27 and 9,942.13 is: 13,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497 : 24,146.27 = 9,942.13 : x
  2. Step 2: Convert to fraction form
    17,497/24,146.27 = 9,942.13/x
  3. Step 3: Cross multiply
    17,497x = 24,146.27 × 9,942.13
  4. Step 4: Simplify right side
    17,497x = 240,065,355.36
  5. Step 5: Solve for x
    x = 240,065,355.36/17,497
  6. Step 6: Final answer
    x = 13,720.37

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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.