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Finding the Fourth Proportional to 23,294.91, 32,147.49 and 12,684.54

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Solution

The fourth proportional to 23,294.91, 32,147.49 and 12,684.54 is: 17,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.91 : 32,147.49 = 12,684.54 : x
  2. Step 2: Convert to fraction form
    23,294.91/32,147.49 = 12,684.54/x
  3. Step 3: Cross multiply
    23,294.91x = 32,147.49 × 12,684.54
  4. Step 4: Simplify right side
    23,294.91x = 407,776,122.80
  5. Step 5: Solve for x
    x = 407,776,122.80/23,294.91
  6. Step 6: Final answer
    x = 17,504.95

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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.