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Finding the Fourth Proportional to 21,447.94, 32,171.70 and 8,291.11

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Solution

The fourth proportional to 21,447.94, 32,171.70 and 8,291.11 is: 12,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,447.94 : 32,171.70 = 8,291.11 : x
  2. Step 2: Convert to fraction form
    21,447.94/32,171.70 = 8,291.11/x
  3. Step 3: Cross multiply
    21,447.94x = 32,171.70 × 8,291.11
  4. Step 4: Simplify right side
    21,447.94x = 266,739,103.59
  5. Step 5: Solve for x
    x = 266,739,103.59/21,447.94
  6. Step 6: Final answer
    x = 12,436.58

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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.