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Finding the Fourth Proportional to 14,684.22, 20,264.37 and 7,969.90

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Solution

The fourth proportional to 14,684.22, 20,264.37 and 7,969.90 is: 10,998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.22 : 20,264.37 = 7,969.90 : x
  2. Step 2: Convert to fraction form
    14,684.22/20,264.37 = 7,969.90/x
  3. Step 3: Cross multiply
    14,684.22x = 20,264.37 × 7,969.90
  4. Step 4: Simplify right side
    14,684.22x = 161,505,002.46
  5. Step 5: Solve for x
    x = 161,505,002.46/14,684.22
  6. Step 6: Final answer
    x = 10,998.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.