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Finding the Fourth Proportional to 24,466.94, 33,764.56 and 13,288.94

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Solution

The fourth proportional to 24,466.94, 33,764.56 and 13,288.94 is: 18,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,466.94 : 33,764.56 = 13,288.94 : x
  2. Step 2: Convert to fraction form
    24,466.94/33,764.56 = 13,288.94/x
  3. Step 3: Cross multiply
    24,466.94x = 33,764.56 × 13,288.94
  4. Step 4: Simplify right side
    24,466.94x = 448,695,211.97
  5. Step 5: Solve for x
    x = 448,695,211.97/24,466.94
  6. Step 6: Final answer
    x = 18,338.84

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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.