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Finding the Fourth Proportional to 23,409.79, 32,305.21 and 13,338.80

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Solution

The fourth proportional to 23,409.79, 32,305.21 and 13,338.80 is: 18,407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.79 : 32,305.21 = 13,338.80 : x
  2. Step 2: Convert to fraction form
    23,409.79/32,305.21 = 13,338.80/x
  3. Step 3: Cross multiply
    23,409.79x = 32,305.21 × 13,338.80
  4. Step 4: Simplify right side
    23,409.79x = 430,912,735.15
  5. Step 5: Solve for x
    x = 430,912,735.15/23,409.79
  6. Step 6: Final answer
    x = 18,407.37

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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.