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Finding the Fourth Proportional to 12,452.86, 18,678.75 and 3,092.66

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Solution

The fourth proportional to 12,452.86, 18,678.75 and 3,092.66 is: 4,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.86 : 18,678.75 = 3,092.66 : x
  2. Step 2: Convert to fraction form
    12,452.86/18,678.75 = 3,092.66/x
  3. Step 3: Cross multiply
    12,452.86x = 18,678.75 × 3,092.66
  4. Step 4: Simplify right side
    12,452.86x = 57,767,022.98
  5. Step 5: Solve for x
    x = 57,767,022.98/12,452.86
  6. Step 6: Final answer
    x = 4,638.86

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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.