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Finding the Fourth Proportional to 24,643.93, 33,996.77 and 16,142.38

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Solution

The fourth proportional to 24,643.93, 33,996.77 and 16,142.38 is: 22,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.93 : 33,996.77 = 16,142.38 : x
  2. Step 2: Convert to fraction form
    24,643.93/33,996.77 = 16,142.38/x
  3. Step 3: Cross multiply
    24,643.93x = 33,996.77 × 16,142.38
  4. Step 4: Simplify right side
    24,643.93x = 548,788,780.11
  5. Step 5: Solve for x
    x = 548,788,780.11/24,643.93
  6. Step 6: Final answer
    x = 22,268.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.