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Finding the Fourth Proportional to 23,744.80, 32,766.42 and 13,133.80

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Solution

The fourth proportional to 23,744.80, 32,766.42 and 13,133.80 is: 18,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744.80 : 32,766.42 = 13,133.80 : x
  2. Step 2: Convert to fraction form
    23,744.80/32,766.42 = 13,133.80/x
  3. Step 3: Cross multiply
    23,744.80x = 32,766.42 × 13,133.80
  4. Step 4: Simplify right side
    23,744.80x = 430,347,607.00
  5. Step 5: Solve for x
    x = 430,347,607.00/23,744.80
  6. Step 6: Final answer
    x = 18,123.87

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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.