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Finding the Fourth Proportional to 19,874.42, 29,811.54 and 5,083.28

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Solution

The fourth proportional to 19,874.42, 29,811.54 and 5,083.28 is: 7,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.42 : 29,811.54 = 5,083.28 : x
  2. Step 2: Convert to fraction form
    19,874.42/29,811.54 = 5,083.28/x
  3. Step 3: Cross multiply
    19,874.42x = 29,811.54 × 5,083.28
  4. Step 4: Simplify right side
    19,874.42x = 151,540,405.05
  5. Step 5: Solve for x
    x = 151,540,405.05/19,874.42
  6. Step 6: Final answer
    x = 7,624.90

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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.