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Finding the Fourth Proportional to 22,171.86, 33,256.97 and 6,589.08

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Solution

The fourth proportional to 22,171.86, 33,256.97 and 6,589.08 is: 9,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.86 : 33,256.97 = 6,589.08 : x
  2. Step 2: Convert to fraction form
    22,171.86/33,256.97 = 6,589.08/x
  3. Step 3: Cross multiply
    22,171.86x = 33,256.97 × 6,589.08
  4. Step 4: Simplify right side
    22,171.86x = 219,132,835.89
  5. Step 5: Solve for x
    x = 219,132,835.89/22,171.86
  6. Step 6: Final answer
    x = 9,883.38

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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.