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Finding the Fourth Proportional to 17,192.48, 23,724.72 and 9,740

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Solution

The fourth proportional to 17,192.48, 23,724.72 and 9,740 is: 13,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,192.48 : 23,724.72 = 9,740 : x
  2. Step 2: Convert to fraction form
    17,192.48/23,724.72 = 9,740/x
  3. Step 3: Cross multiply
    17,192.48x = 23,724.72 × 9,740
  4. Step 4: Simplify right side
    17,192.48x = 231,078,772.80
  5. Step 5: Solve for x
    x = 231,078,772.80/17,192.48
  6. Step 6: Final answer
    x = 13,440.69

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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.