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Finding the Fourth Proportional to 17,141.66, 23,657.68 and 9,588.41

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Solution

The fourth proportional to 17,141.66, 23,657.68 and 9,588.41 is: 13,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141.66 : 23,657.68 = 9,588.41 : x
  2. Step 2: Convert to fraction form
    17,141.66/23,657.68 = 9,588.41/x
  3. Step 3: Cross multiply
    17,141.66x = 23,657.68 × 9,588.41
  4. Step 4: Simplify right side
    17,141.66x = 226,839,369.26
  5. Step 5: Solve for x
    x = 226,839,369.26/17,141.66
  6. Step 6: Final answer
    x = 13,233.22

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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.