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Finding the Fourth Proportional to 12,683.75, 19,029.67 and 6,110.60

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Solution

The fourth proportional to 12,683.75, 19,029.67 and 6,110.60 is: 9,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.75 : 19,029.67 = 6,110.60 : x
  2. Step 2: Convert to fraction form
    12,683.75/19,029.67 = 6,110.60/x
  3. Step 3: Cross multiply
    12,683.75x = 19,029.67 × 6,110.60
  4. Step 4: Simplify right side
    12,683.75x = 116,282,591.08
  5. Step 5: Solve for x
    x = 116,282,591.08/12,683.75
  6. Step 6: Final answer
    x = 9,167.84

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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.