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Finding the Fourth Proportional to 21,773.50, 32,672.72 and 11,778.57

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Solution

The fourth proportional to 21,773.50, 32,672.72 and 11,778.57 is: 17,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773.50 : 32,672.72 = 11,778.57 : x
  2. Step 2: Convert to fraction form
    21,773.50/32,672.72 = 11,778.57/x
  3. Step 3: Cross multiply
    21,773.50x = 32,672.72 × 11,778.57
  4. Step 4: Simplify right side
    21,773.50x = 384,837,949.06
  5. Step 5: Solve for x
    x = 384,837,949.06/21,773.50
  6. Step 6: Final answer
    x = 17,674.60

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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.