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Finding the Fourth Proportional to 16,543.82, 22,842.39 and 10,178.97

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Solution

The fourth proportional to 16,543.82, 22,842.39 and 10,178.97 is: 14,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.82 : 22,842.39 = 10,178.97 : x
  2. Step 2: Convert to fraction form
    16,543.82/22,842.39 = 10,178.97/x
  3. Step 3: Cross multiply
    16,543.82x = 22,842.39 × 10,178.97
  4. Step 4: Simplify right side
    16,543.82x = 232,512,002.54
  5. Step 5: Solve for x
    x = 232,512,002.54/16,543.82
  6. Step 6: Final answer
    x = 14,054.32

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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.