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Finding the Fourth Proportional to 21,546.78, 32,320.17 and 6,756.85

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Solution

The fourth proportional to 21,546.78, 32,320.17 and 6,756.85 is: 10,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546.78 : 32,320.17 = 6,756.85 : x
  2. Step 2: Convert to fraction form
    21,546.78/32,320.17 = 6,756.85/x
  3. Step 3: Cross multiply
    21,546.78x = 32,320.17 × 6,756.85
  4. Step 4: Simplify right side
    21,546.78x = 218,382,581.06
  5. Step 5: Solve for x
    x = 218,382,581.06/21,546.78
  6. Step 6: Final answer
    x = 10,135.28

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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.