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Finding the Fourth Proportional to 14,409.90, 21,625.38 and 9,489.96

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Solution

The fourth proportional to 14,409.90, 21,625.38 and 9,489.96 is: 14,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.90 : 21,625.38 = 9,489.96 : x
  2. Step 2: Convert to fraction form
    14,409.90/21,625.38 = 9,489.96/x
  3. Step 3: Cross multiply
    14,409.90x = 21,625.38 × 9,489.96
  4. Step 4: Simplify right side
    14,409.90x = 205,223,991.18
  5. Step 5: Solve for x
    x = 205,223,991.18/14,409.90
  6. Step 6: Final answer
    x = 14,241.87

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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.