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Finding the Fourth Proportional to 21,233.75, 31,847.04 and 6,439.10

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Solution

The fourth proportional to 21,233.75, 31,847.04 and 6,439.10 is: 9,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233.75 : 31,847.04 = 6,439.10 : x
  2. Step 2: Convert to fraction form
    21,233.75/31,847.04 = 6,439.10/x
  3. Step 3: Cross multiply
    21,233.75x = 31,847.04 × 6,439.10
  4. Step 4: Simplify right side
    21,233.75x = 205,066,275.26
  5. Step 5: Solve for x
    x = 205,066,275.26/21,233.75
  6. Step 6: Final answer
    x = 9,657.56

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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.