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Finding the Fourth Proportional to 22,171, 33,261.98 and 6,588.56

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Solution

The fourth proportional to 22,171, 33,261.98 and 6,588.56 is: 9,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171 : 33,261.98 = 6,588.56 : x
  2. Step 2: Convert to fraction form
    22,171/33,261.98 = 6,588.56/x
  3. Step 3: Cross multiply
    22,171x = 33,261.98 × 6,588.56
  4. Step 4: Simplify right side
    22,171x = 219,148,550.95
  5. Step 5: Solve for x
    x = 219,148,550.95/22,171
  6. Step 6: Final answer
    x = 9,884.47

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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.