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Finding the Fourth Proportional to 12,133.95, 18,202.71 and 6,214.19

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Solution

The fourth proportional to 12,133.95, 18,202.71 and 6,214.19 is: 9,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.95 : 18,202.71 = 6,214.19 : x
  2. Step 2: Convert to fraction form
    12,133.95/18,202.71 = 6,214.19/x
  3. Step 3: Cross multiply
    12,133.95x = 18,202.71 × 6,214.19
  4. Step 4: Simplify right side
    12,133.95x = 113,115,007.44
  5. Step 5: Solve for x
    x = 113,115,007.44/12,133.95
  6. Step 6: Final answer
    x = 9,322.19

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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.