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Finding the Fourth Proportional to 12,345.14, 18,523.92 and 4,954.88

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Solution

The fourth proportional to 12,345.14, 18,523.92 and 4,954.88 is: 7,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345.14 : 18,523.92 = 4,954.88 : x
  2. Step 2: Convert to fraction form
    12,345.14/18,523.92 = 4,954.88/x
  3. Step 3: Cross multiply
    12,345.14x = 18,523.92 × 4,954.88
  4. Step 4: Simplify right side
    12,345.14x = 91,783,800.73
  5. Step 5: Solve for x
    x = 91,783,800.73/12,345.14
  6. Step 6: Final answer
    x = 7,434.81

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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.