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Finding the Fourth Proportional to 24,458.84, 33,767.52 and 17,738

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Solution

The fourth proportional to 24,458.84, 33,767.52 and 17,738 is: 24,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,458.84 : 33,767.52 = 17,738 : x
  2. Step 2: Convert to fraction form
    24,458.84/33,767.52 = 17,738/x
  3. Step 3: Cross multiply
    24,458.84x = 33,767.52 × 17,738
  4. Step 4: Simplify right side
    24,458.84x = 598,968,269.76
  5. Step 5: Solve for x
    x = 598,968,269.76/24,458.84
  6. Step 6: Final answer
    x = 24,488.83

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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.