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Finding the Fourth Proportional to 23,753.75, 32,778.81 and 13,142.75

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Solution

The fourth proportional to 23,753.75, 32,778.81 and 13,142.75 is: 18,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,753.75 : 32,778.81 = 13,142.75 : x
  2. Step 2: Convert to fraction form
    23,753.75/32,778.81 = 13,142.75/x
  3. Step 3: Cross multiply
    23,753.75x = 32,778.81 × 13,142.75
  4. Step 4: Simplify right side
    23,753.75x = 430,803,541.23
  5. Step 5: Solve for x
    x = 430,803,541.23/23,753.75
  6. Step 6: Final answer
    x = 18,136.24

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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.