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Finding the Fourth Proportional to 17,143.84, 23,662.29 and 10,855

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Solution

The fourth proportional to 17,143.84, 23,662.29 and 10,855 is: 14,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.84 : 23,662.29 = 10,855 : x
  2. Step 2: Convert to fraction form
    17,143.84/23,662.29 = 10,855/x
  3. Step 3: Cross multiply
    17,143.84x = 23,662.29 × 10,855
  4. Step 4: Simplify right side
    17,143.84x = 256,854,157.95
  5. Step 5: Solve for x
    x = 256,854,157.95/17,143.84
  6. Step 6: Final answer
    x = 14,982.30

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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.