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Finding the Fourth Proportional to 13,782.66, 20,673.98 and 5,991.47

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Solution

The fourth proportional to 13,782.66, 20,673.98 and 5,991.47 is: 8,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.66 : 20,673.98 = 5,991.47 : x
  2. Step 2: Convert to fraction form
    13,782.66/20,673.98 = 5,991.47/x
  3. Step 3: Cross multiply
    13,782.66x = 20,673.98 × 5,991.47
  4. Step 4: Simplify right side
    13,782.66x = 123,867,531.32
  5. Step 5: Solve for x
    x = 123,867,531.32/13,782.66
  6. Step 6: Final answer
    x = 8,987.20

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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.