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Finding the Fourth Proportional to 23,792.82, 32,834 and 13,182.44

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Solution

The fourth proportional to 23,792.82, 32,834 and 13,182.44 is: 18,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792.82 : 32,834 = 13,182.44 : x
  2. Step 2: Convert to fraction form
    23,792.82/32,834 = 13,182.44/x
  3. Step 3: Cross multiply
    23,792.82x = 32,834 × 13,182.44
  4. Step 4: Simplify right side
    23,792.82x = 432,832,234.96
  5. Step 5: Solve for x
    x = 432,832,234.96/23,792.82
  6. Step 6: Final answer
    x = 18,191.72

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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.