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Finding the Fourth Proportional to 12,483.60, 18,728.85 and 8,042.78

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Solution

The fourth proportional to 12,483.60, 18,728.85 and 8,042.78 is: 12,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483.60 : 18,728.85 = 8,042.78 : x
  2. Step 2: Convert to fraction form
    12,483.60/18,728.85 = 8,042.78/x
  3. Step 3: Cross multiply
    12,483.60x = 18,728.85 × 8,042.78
  4. Step 4: Simplify right side
    12,483.60x = 150,631,926.56
  5. Step 5: Solve for x
    x = 150,631,926.56/12,483.60
  6. Step 6: Final answer
    x = 12,066.39

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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.