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Finding the Fourth Proportional to 21,874.68, 32,817.20 and 7,083.59

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Solution

The fourth proportional to 21,874.68, 32,817.20 and 7,083.59 is: 10,627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.68 : 32,817.20 = 7,083.59 : x
  2. Step 2: Convert to fraction form
    21,874.68/32,817.20 = 7,083.59/x
  3. Step 3: Cross multiply
    21,874.68x = 32,817.20 × 7,083.59
  4. Step 4: Simplify right side
    21,874.68x = 232,463,390.24
  5. Step 5: Solve for x
    x = 232,463,390.24/21,874.68
  6. Step 6: Final answer
    x = 10,627.05

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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.