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Finding the Fourth Proportional to 12,704.83, 19,049.54 and 5,683.53

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Solution

The fourth proportional to 12,704.83, 19,049.54 and 5,683.53 is: 8,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.83 : 19,049.54 = 5,683.53 : x
  2. Step 2: Convert to fraction form
    12,704.83/19,049.54 = 5,683.53/x
  3. Step 3: Cross multiply
    12,704.83x = 19,049.54 × 5,683.53
  4. Step 4: Simplify right side
    12,704.83x = 108,268,632.08
  5. Step 5: Solve for x
    x = 108,268,632.08/12,704.83
  6. Step 6: Final answer
    x = 8,521.85

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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.