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Finding the Fourth Proportional to 12,092.96, 18,143.99 and 4,697.86

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Solution

The fourth proportional to 12,092.96, 18,143.99 and 4,697.86 is: 7,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.96 : 18,143.99 = 4,697.86 : x
  2. Step 2: Convert to fraction form
    12,092.96/18,143.99 = 4,697.86/x
  3. Step 3: Cross multiply
    12,092.96x = 18,143.99 × 4,697.86
  4. Step 4: Simplify right side
    12,092.96x = 85,237,924.86
  5. Step 5: Solve for x
    x = 85,237,924.86/12,092.96
  6. Step 6: Final answer
    x = 7,048.56

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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.