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Finding the Fourth Proportional to 17,331.77, 23,915.82 and 9,778.22

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Solution

The fourth proportional to 17,331.77, 23,915.82 and 9,778.22 is: 13,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,331.77 : 23,915.82 = 9,778.22 : x
  2. Step 2: Convert to fraction form
    17,331.77/23,915.82 = 9,778.22/x
  3. Step 3: Cross multiply
    17,331.77x = 23,915.82 × 9,778.22
  4. Step 4: Simplify right side
    17,331.77x = 233,854,149.44
  5. Step 5: Solve for x
    x = 233,854,149.44/17,331.77
  6. Step 6: Final answer
    x = 13,492.80

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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.