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Finding the Fourth Proportional to 13,122.10, 19,683.15 and 6,879.70

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Solution

The fourth proportional to 13,122.10, 19,683.15 and 6,879.70 is: 10,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.10 : 19,683.15 = 6,879.70 : x
  2. Step 2: Convert to fraction form
    13,122.10/19,683.15 = 6,879.70/x
  3. Step 3: Cross multiply
    13,122.10x = 19,683.15 × 6,879.70
  4. Step 4: Simplify right side
    13,122.10x = 135,414,167.06
  5. Step 5: Solve for x
    x = 135,414,167.06/13,122.10
  6. Step 6: Final answer
    x = 10,319.55

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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.