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Finding the Fourth Proportional to 17,142.22, 25,642.24 and 16,092.46

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Solution

The fourth proportional to 17,142.22, 25,642.24 and 16,092.46 is: 24,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.22 : 25,642.24 = 16,092.46 : x
  2. Step 2: Convert to fraction form
    17,142.22/25,642.24 = 16,092.46/x
  3. Step 3: Cross multiply
    17,142.22x = 25,642.24 × 16,092.46
  4. Step 4: Simplify right side
    17,142.22x = 412,646,721.51
  5. Step 5: Solve for x
    x = 412,646,721.51/17,142.22
  6. Step 6: Final answer
    x = 24,071.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.