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Finding the Fourth Proportional to 12,021.57, 16,589.71 and 6,644.01

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Solution

The fourth proportional to 12,021.57, 16,589.71 and 6,644.01 is: 9,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.57 : 16,589.71 = 6,644.01 : x
  2. Step 2: Convert to fraction form
    12,021.57/16,589.71 = 6,644.01/x
  3. Step 3: Cross multiply
    12,021.57x = 16,589.71 × 6,644.01
  4. Step 4: Simplify right side
    12,021.57x = 110,222,199.14
  5. Step 5: Solve for x
    x = 110,222,199.14/12,021.57
  6. Step 6: Final answer
    x = 9,168.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.