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Finding the Fourth Proportional to 13,477.70, 20,216.55 and 12,311.30

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Solution

The fourth proportional to 13,477.70, 20,216.55 and 12,311.30 is: 18,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.70 : 20,216.55 = 12,311.30 : x
  2. Step 2: Convert to fraction form
    13,477.70/20,216.55 = 12,311.30/x
  3. Step 3: Cross multiply
    13,477.70x = 20,216.55 × 12,311.30
  4. Step 4: Simplify right side
    13,477.70x = 248,892,012.02
  5. Step 5: Solve for x
    x = 248,892,012.02/13,477.70
  6. Step 6: Final answer
    x = 18,466.95

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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.