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Finding the Fourth Proportional to 17,143.78, 23,657.30 and 9,588.80

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Solution

The fourth proportional to 17,143.78, 23,657.30 and 9,588.80 is: 13,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.78 : 23,657.30 = 9,588.80 : x
  2. Step 2: Convert to fraction form
    17,143.78/23,657.30 = 9,588.80/x
  3. Step 3: Cross multiply
    17,143.78x = 23,657.30 × 9,588.80
  4. Step 4: Simplify right side
    17,143.78x = 226,845,219.33
  5. Step 5: Solve for x
    x = 226,845,219.33/17,143.78
  6. Step 6: Final answer
    x = 13,231.93

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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.