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Finding the Fourth Proportional to 17,350, 23,946.24 and 9,898

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Solution

The fourth proportional to 17,350, 23,946.24 and 9,898 is: 13,661.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,350 : 23,946.24 = 9,898 : x
  2. Step 2: Convert to fraction form
    17,350/23,946.24 = 9,898/x
  3. Step 3: Cross multiply
    17,350x = 23,946.24 × 9,898
  4. Step 4: Simplify right side
    17,350x = 237,019,883.52
  5. Step 5: Solve for x
    x = 237,019,883.52/17,350
  6. Step 6: Final answer
    x = 13,661.09

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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.