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Finding the Fourth Proportional to 21,431.74, 32,147.28 and 5,849.32

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Solution

The fourth proportional to 21,431.74, 32,147.28 and 5,849.32 is: 8,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.74 : 32,147.28 = 5,849.32 : x
  2. Step 2: Convert to fraction form
    21,431.74/32,147.28 = 5,849.32/x
  3. Step 3: Cross multiply
    21,431.74x = 32,147.28 × 5,849.32
  4. Step 4: Simplify right side
    21,431.74x = 188,039,727.85
  5. Step 5: Solve for x
    x = 188,039,727.85/21,431.74
  6. Step 6: Final answer
    x = 8,773.89

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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.