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Finding the Fourth Proportional to 24,469.57, 33,768.02 and 13,291.57

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Solution

The fourth proportional to 24,469.57, 33,768.02 and 13,291.57 is: 18,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.57 : 33,768.02 = 13,291.57 : x
  2. Step 2: Convert to fraction form
    24,469.57/33,768.02 = 13,291.57/x
  3. Step 3: Cross multiply
    24,469.57x = 33,768.02 × 13,291.57
  4. Step 4: Simplify right side
    24,469.57x = 448,830,001.59
  5. Step 5: Solve for x
    x = 448,830,001.59/24,469.57
  6. Step 6: Final answer
    x = 18,342.37

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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.