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Finding the Fourth Proportional to 17,847.36, 24,638.91 and 11,393.49

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Solution

The fourth proportional to 17,847.36, 24,638.91 and 11,393.49 is: 15,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.36 : 24,638.91 = 11,393.49 : x
  2. Step 2: Convert to fraction form
    17,847.36/24,638.91 = 11,393.49/x
  3. Step 3: Cross multiply
    17,847.36x = 24,638.91 × 11,393.49
  4. Step 4: Simplify right side
    17,847.36x = 280,723,085.77
  5. Step 5: Solve for x
    x = 280,723,085.77/17,847.36
  6. Step 6: Final answer
    x = 15,729.11

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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.