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Finding the Fourth Proportional to 12,683.42, 19,019.26 and 7,136.76

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Solution

The fourth proportional to 12,683.42, 19,019.26 and 7,136.76 is: 10,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.42 : 19,019.26 = 7,136.76 : x
  2. Step 2: Convert to fraction form
    12,683.42/19,019.26 = 7,136.76/x
  3. Step 3: Cross multiply
    12,683.42x = 19,019.26 × 7,136.76
  4. Step 4: Simplify right side
    12,683.42x = 135,735,979.83
  5. Step 5: Solve for x
    x = 135,735,979.83/12,683.42
  6. Step 6: Final answer
    x = 10,701.84

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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.