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Finding the Fourth Proportional to 19,874.32, 29,811.33 and 5,083.20

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Solution

The fourth proportional to 19,874.32, 29,811.33 and 5,083.20 is: 7,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.32 : 29,811.33 = 5,083.20 : x
  2. Step 2: Convert to fraction form
    19,874.32/29,811.33 = 5,083.20/x
  3. Step 3: Cross multiply
    19,874.32x = 29,811.33 × 5,083.20
  4. Step 4: Simplify right side
    19,874.32x = 151,536,952.66
  5. Step 5: Solve for x
    x = 151,536,952.66/19,874.32
  6. Step 6: Final answer
    x = 7,624.76

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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.