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Finding the Fourth Proportional to 24,768.69, 34,161.75 and 16,699.38

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Solution

The fourth proportional to 24,768.69, 34,161.75 and 16,699.38 is: 23,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768.69 : 34,161.75 = 16,699.38 : x
  2. Step 2: Convert to fraction form
    24,768.69/34,161.75 = 16,699.38/x
  3. Step 3: Cross multiply
    24,768.69x = 34,161.75 × 16,699.38
  4. Step 4: Simplify right side
    24,768.69x = 570,480,044.72
  5. Step 5: Solve for x
    x = 570,480,044.72/24,768.69
  6. Step 6: Final answer
    x = 23,032.31

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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.