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Finding the Fourth Proportional to 12,474.81, 18,713.16 and 4,683.69

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Solution

The fourth proportional to 12,474.81, 18,713.16 and 4,683.69 is: 7,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.81 : 18,713.16 = 4,683.69 : x
  2. Step 2: Convert to fraction form
    12,474.81/18,713.16 = 4,683.69/x
  3. Step 3: Cross multiply
    12,474.81x = 18,713.16 × 4,683.69
  4. Step 4: Simplify right side
    12,474.81x = 87,646,640.36
  5. Step 5: Solve for x
    x = 87,646,640.36/12,474.81
  6. Step 6: Final answer
    x = 7,025.89

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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.