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Finding the Fourth Proportional to 21,450.88, 32,177.82 and 6,657.82

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Solution

The fourth proportional to 21,450.88, 32,177.82 and 6,657.82 is: 9,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,450.88 : 32,177.82 = 6,657.82 : x
  2. Step 2: Convert to fraction form
    21,450.88/32,177.82 = 6,657.82/x
  3. Step 3: Cross multiply
    21,450.88x = 32,177.82 × 6,657.82
  4. Step 4: Simplify right side
    21,450.88x = 214,234,133.55
  5. Step 5: Solve for x
    x = 214,234,133.55/21,450.88
  6. Step 6: Final answer
    x = 9,987.20

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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.