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Finding the Fourth Proportional to 21,874.26, 32,816.62 and 7,083.20

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Solution

The fourth proportional to 21,874.26, 32,816.62 and 7,083.20 is: 10,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.26 : 32,816.62 = 7,083.20 : x
  2. Step 2: Convert to fraction form
    21,874.26/32,816.62 = 7,083.20/x
  3. Step 3: Cross multiply
    21,874.26x = 32,816.62 × 7,083.20
  4. Step 4: Simplify right side
    21,874.26x = 232,446,483.28
  5. Step 5: Solve for x
    x = 232,446,483.28/21,874.26
  6. Step 6: Final answer
    x = 10,626.48

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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.