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Finding the Fourth Proportional to 12,206.60, 18,293.70 and 6,361.64

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Solution

The fourth proportional to 12,206.60, 18,293.70 and 6,361.64 is: 9,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.60 : 18,293.70 = 6,361.64 : x
  2. Step 2: Convert to fraction form
    12,206.60/18,293.70 = 6,361.64/x
  3. Step 3: Cross multiply
    12,206.60x = 18,293.70 × 6,361.64
  4. Step 4: Simplify right side
    12,206.60x = 116,377,933.67
  5. Step 5: Solve for x
    x = 116,377,933.67/12,206.60
  6. Step 6: Final answer
    x = 9,534.02

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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.