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Finding the Fourth Proportional to 21,372.09, 32,061.78 and 6,578.25

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Solution

The fourth proportional to 21,372.09, 32,061.78 and 6,578.25 is: 9,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,372.09 : 32,061.78 = 6,578.25 : x
  2. Step 2: Convert to fraction form
    21,372.09/32,061.78 = 6,578.25/x
  3. Step 3: Cross multiply
    21,372.09x = 32,061.78 × 6,578.25
  4. Step 4: Simplify right side
    21,372.09x = 210,910,404.29
  5. Step 5: Solve for x
    x = 210,910,404.29/21,372.09
  6. Step 6: Final answer
    x = 9,868.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.