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Finding the Fourth Proportional to 12,351.42, 18,532.40 and 8,192.88

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Solution

The fourth proportional to 12,351.42, 18,532.40 and 8,192.88 is: 12,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.42 : 18,532.40 = 8,192.88 : x
  2. Step 2: Convert to fraction form
    12,351.42/18,532.40 = 8,192.88/x
  3. Step 3: Cross multiply
    12,351.42x = 18,532.40 × 8,192.88
  4. Step 4: Simplify right side
    12,351.42x = 151,833,688.35
  5. Step 5: Solve for x
    x = 151,833,688.35/12,351.42
  6. Step 6: Final answer
    x = 12,292.81

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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.