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Finding the Fourth Proportional to 14,471.25, 21,706.86 and 9,504.99

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Solution

The fourth proportional to 14,471.25, 21,706.86 and 9,504.99 is: 14,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.25 : 21,706.86 = 9,504.99 : x
  2. Step 2: Convert to fraction form
    14,471.25/21,706.86 = 9,504.99/x
  3. Step 3: Cross multiply
    14,471.25x = 21,706.86 × 9,504.99
  4. Step 4: Simplify right side
    14,471.25x = 206,323,487.23
  5. Step 5: Solve for x
    x = 206,323,487.23/14,471.25
  6. Step 6: Final answer
    x = 14,257.48

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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.