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Finding the Fourth Proportional to 12,193.40, 18,290.77 and 3,427.62

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Solution

The fourth proportional to 12,193.40, 18,290.77 and 3,427.62 is: 5,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.40 : 18,290.77 = 3,427.62 : x
  2. Step 2: Convert to fraction form
    12,193.40/18,290.77 = 3,427.62/x
  3. Step 3: Cross multiply
    12,193.40x = 18,290.77 × 3,427.62
  4. Step 4: Simplify right side
    12,193.40x = 62,693,809.07
  5. Step 5: Solve for x
    x = 62,693,809.07/12,193.40
  6. Step 6: Final answer
    x = 5,141.62

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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.