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Finding the Fourth Proportional to 21,782.25, 32,611.41 and 14,364.09

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Solution

The fourth proportional to 21,782.25, 32,611.41 and 14,364.09 is: 21,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.25 : 32,611.41 = 14,364.09 : x
  2. Step 2: Convert to fraction form
    21,782.25/32,611.41 = 14,364.09/x
  3. Step 3: Cross multiply
    21,782.25x = 32,611.41 × 14,364.09
  4. Step 4: Simplify right side
    21,782.25x = 468,433,228.27
  5. Step 5: Solve for x
    x = 468,433,228.27/21,782.25
  6. Step 6: Final answer
    x = 21,505.27

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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.