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Finding the Fourth Proportional to 24,200.90, 36,305.93 and 8,405.31

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Solution

The fourth proportional to 24,200.90, 36,305.93 and 8,405.31 is: 12,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.90 : 36,305.93 = 8,405.31 : x
  2. Step 2: Convert to fraction form
    24,200.90/36,305.93 = 8,405.31/x
  3. Step 3: Cross multiply
    24,200.90x = 36,305.93 × 8,405.31
  4. Step 4: Simplify right side
    24,200.90x = 305,162,554.46
  5. Step 5: Solve for x
    x = 305,162,554.46/24,200.90
  6. Step 6: Final answer
    x = 12,609.56

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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.