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Finding the Fourth Proportional to 24,469, 33,767.94 and 13,291.72

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Solution

The fourth proportional to 24,469, 33,767.94 and 13,291.72 is: 18,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469 : 33,767.94 = 13,291.72 : x
  2. Step 2: Convert to fraction form
    24,469/33,767.94 = 13,291.72/x
  3. Step 3: Cross multiply
    24,469x = 33,767.94 × 13,291.72
  4. Step 4: Simplify right side
    24,469x = 448,834,003.46
  5. Step 5: Solve for x
    x = 448,834,003.46/24,469
  6. Step 6: Final answer
    x = 18,342.96

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