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Finding the Fourth Proportional to 21,329.75, 32,006.15 and 10,385.75

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Solution

The fourth proportional to 21,329.75, 32,006.15 and 10,385.75 is: 15,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,329.75 : 32,006.15 = 10,385.75 : x
  2. Step 2: Convert to fraction form
    21,329.75/32,006.15 = 10,385.75/x
  3. Step 3: Cross multiply
    21,329.75x = 32,006.15 × 10,385.75
  4. Step 4: Simplify right side
    21,329.75x = 332,407,872.36
  5. Step 5: Solve for x
    x = 332,407,872.36/21,329.75
  6. Step 6: Final answer
    x = 15,584.24

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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.