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Finding the Fourth Proportional to 12,290.72, 18,434.51 and 3,969.87

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Solution

The fourth proportional to 12,290.72, 18,434.51 and 3,969.87 is: 5,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.72 : 18,434.51 = 3,969.87 : x
  2. Step 2: Convert to fraction form
    12,290.72/18,434.51 = 3,969.87/x
  3. Step 3: Cross multiply
    12,290.72x = 18,434.51 × 3,969.87
  4. Step 4: Simplify right side
    12,290.72x = 73,182,588.36
  5. Step 5: Solve for x
    x = 73,182,588.36/12,290.72
  6. Step 6: Final answer
    x = 5,954.30

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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.