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Finding the Fourth Proportional to 12,704.65, 19,049.26 and 5,683.35

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Solution

The fourth proportional to 12,704.65, 19,049.26 and 5,683.35 is: 8,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.65 : 19,049.26 = 5,683.35 : x
  2. Step 2: Convert to fraction form
    12,704.65/19,049.26 = 5,683.35/x
  3. Step 3: Cross multiply
    12,704.65x = 19,049.26 × 5,683.35
  4. Step 4: Simplify right side
    12,704.65x = 108,263,572.55
  5. Step 5: Solve for x
    x = 108,263,572.55/12,704.65
  6. Step 6: Final answer
    x = 8,521.57

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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.