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Finding the Fourth Proportional to 15,200.30, 22,808.46 and 10,786.47

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Solution

The fourth proportional to 15,200.30, 22,808.46 and 10,786.47 is: 16,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.30 : 22,808.46 = 10,786.47 : x
  2. Step 2: Convert to fraction form
    15,200.30/22,808.46 = 10,786.47/x
  3. Step 3: Cross multiply
    15,200.30x = 22,808.46 × 10,786.47
  4. Step 4: Simplify right side
    15,200.30x = 246,022,769.54
  5. Step 5: Solve for x
    x = 246,022,769.54/15,200.30
  6. Step 6: Final answer
    x = 16,185.39

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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.