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Finding the Fourth Proportional to 21,877.68, 32,817.96 and 6,295.44

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Solution

The fourth proportional to 21,877.68, 32,817.96 and 6,295.44 is: 9,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.68 : 32,817.96 = 6,295.44 : x
  2. Step 2: Convert to fraction form
    21,877.68/32,817.96 = 6,295.44/x
  3. Step 3: Cross multiply
    21,877.68x = 32,817.96 × 6,295.44
  4. Step 4: Simplify right side
    21,877.68x = 206,603,498.10
  5. Step 5: Solve for x
    x = 206,603,498.10/21,877.68
  6. Step 6: Final answer
    x = 9,443.57

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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.