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Finding the Fourth Proportional to 12,214.60, 18,305.70 and 6,369.64

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Solution

The fourth proportional to 12,214.60, 18,305.70 and 6,369.64 is: 9,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.60 : 18,305.70 = 6,369.64 : x
  2. Step 2: Convert to fraction form
    12,214.60/18,305.70 = 6,369.64/x
  3. Step 3: Cross multiply
    12,214.60x = 18,305.70 × 6,369.64
  4. Step 4: Simplify right side
    12,214.60x = 116,600,718.95
  5. Step 5: Solve for x
    x = 116,600,718.95/12,214.60
  6. Step 6: Final answer
    x = 9,546.01

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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.