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Finding the Fourth Proportional to 23,200.96, 34,801.40 and 8,409.84

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Solution

The fourth proportional to 23,200.96, 34,801.40 and 8,409.84 is: 12,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.96 : 34,801.40 = 8,409.84 : x
  2. Step 2: Convert to fraction form
    23,200.96/34,801.40 = 8,409.84/x
  3. Step 3: Cross multiply
    23,200.96x = 34,801.40 × 8,409.84
  4. Step 4: Simplify right side
    23,200.96x = 292,674,205.78
  5. Step 5: Solve for x
    x = 292,674,205.78/23,200.96
  6. Step 6: Final answer
    x = 12,614.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.