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Finding the Fourth Proportional to 12,464.92, 18,693.56 and 4,142.76

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Solution

The fourth proportional to 12,464.92, 18,693.56 and 4,142.76 is: 6,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.92 : 18,693.56 = 4,142.76 : x
  2. Step 2: Convert to fraction form
    12,464.92/18,693.56 = 4,142.76/x
  3. Step 3: Cross multiply
    12,464.92x = 18,693.56 × 4,142.76
  4. Step 4: Simplify right side
    12,464.92x = 77,442,932.63
  5. Step 5: Solve for x
    x = 77,442,932.63/12,464.92
  6. Step 6: Final answer
    x = 6,212.87

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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.