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Finding the Fourth Proportional to 23,409.50, 32,305.11 and 12,799.21

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Solution

The fourth proportional to 23,409.50, 32,305.11 and 12,799.21 is: 17,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.50 : 32,305.11 = 12,799.21 : x
  2. Step 2: Convert to fraction form
    23,409.50/32,305.11 = 12,799.21/x
  3. Step 3: Cross multiply
    23,409.50x = 32,305.11 × 12,799.21
  4. Step 4: Simplify right side
    23,409.50x = 413,479,886.96
  5. Step 5: Solve for x
    x = 413,479,886.96/23,409.50
  6. Step 6: Final answer
    x = 17,662.91

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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.