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Finding the Fourth Proportional to 14,684.46, 20,263.95 and 7,969.84

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Solution

The fourth proportional to 14,684.46, 20,263.95 and 7,969.84 is: 10,998.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.46 : 20,263.95 = 7,969.84 : x
  2. Step 2: Convert to fraction form
    14,684.46/20,263.95 = 7,969.84/x
  3. Step 3: Cross multiply
    14,684.46x = 20,263.95 × 7,969.84
  4. Step 4: Simplify right side
    14,684.46x = 161,500,439.27
  5. Step 5: Solve for x
    x = 161,500,439.27/14,684.46
  6. Step 6: Final answer
    x = 10,998.05

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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.