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Finding the Fourth Proportional to 19,874.92, 29,812.32 and 5,083.80

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Solution

The fourth proportional to 19,874.92, 29,812.32 and 5,083.80 is: 7,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.92 : 29,812.32 = 5,083.80 : x
  2. Step 2: Convert to fraction form
    19,874.92/29,812.32 = 5,083.80/x
  3. Step 3: Cross multiply
    19,874.92x = 29,812.32 × 5,083.80
  4. Step 4: Simplify right side
    19,874.92x = 151,559,872.42
  5. Step 5: Solve for x
    x = 151,559,872.42/19,874.92
  6. Step 6: Final answer
    x = 7,625.68

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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.