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Finding the Fourth Proportional to 13,466.87, 20,187.83 and 6,878.53

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Solution

The fourth proportional to 13,466.87, 20,187.83 and 6,878.53 is: 10,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.87 : 20,187.83 = 6,878.53 : x
  2. Step 2: Convert to fraction form
    13,466.87/20,187.83 = 6,878.53/x
  3. Step 3: Cross multiply
    13,466.87x = 20,187.83 × 6,878.53
  4. Step 4: Simplify right side
    13,466.87x = 138,862,510.55
  5. Step 5: Solve for x
    x = 138,862,510.55/13,466.87
  6. Step 6: Final answer
    x = 10,311.42

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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.