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Finding the Fourth Proportional to 12,216.18, 18,311.52 and 5,646.70

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Solution

The fourth proportional to 12,216.18, 18,311.52 and 5,646.70 is: 8,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.18 : 18,311.52 = 5,646.70 : x
  2. Step 2: Convert to fraction form
    12,216.18/18,311.52 = 5,646.70/x
  3. Step 3: Cross multiply
    12,216.18x = 18,311.52 × 5,646.70
  4. Step 4: Simplify right side
    12,216.18x = 103,399,659.98
  5. Step 5: Solve for x
    x = 103,399,659.98/12,216.18
  6. Step 6: Final answer
    x = 8,464.16

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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.