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Finding the Fourth Proportional to 24,617.58, 33,971.79 and 14,006.97

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Solution

The fourth proportional to 24,617.58, 33,971.79 and 14,006.97 is: 19,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617.58 : 33,971.79 = 14,006.97 : x
  2. Step 2: Convert to fraction form
    24,617.58/33,971.79 = 14,006.97/x
  3. Step 3: Cross multiply
    24,617.58x = 33,971.79 × 14,006.97
  4. Step 4: Simplify right side
    24,617.58x = 475,841,843.38
  5. Step 5: Solve for x
    x = 475,841,843.38/24,617.58
  6. Step 6: Final answer
    x = 19,329.35

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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.