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Finding the Fourth Proportional to 17,234, 23,781.80 and 10,160.08

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Solution

The fourth proportional to 17,234, 23,781.80 and 10,160.08 is: 14,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234 : 23,781.80 = 10,160.08 : x
  2. Step 2: Convert to fraction form
    17,234/23,781.80 = 10,160.08/x
  3. Step 3: Cross multiply
    17,234x = 23,781.80 × 10,160.08
  4. Step 4: Simplify right side
    17,234x = 241,624,990.54
  5. Step 5: Solve for x
    x = 241,624,990.54/17,234
  6. Step 6: Final answer
    x = 14,020.25

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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.