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Finding the Fourth Proportional to 21,318.49, 31,964.07 and 8,847.12

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Solution

The fourth proportional to 21,318.49, 31,964.07 and 8,847.12 is: 13,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318.49 : 31,964.07 = 8,847.12 : x
  2. Step 2: Convert to fraction form
    21,318.49/31,964.07 = 8,847.12/x
  3. Step 3: Cross multiply
    21,318.49x = 31,964.07 × 8,847.12
  4. Step 4: Simplify right side
    21,318.49x = 282,790,116.02
  5. Step 5: Solve for x
    x = 282,790,116.02/21,318.49
  6. Step 6: Final answer
    x = 13,265.02

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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.