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Finding the Fourth Proportional to 21,158.25, 31,740.73 and 8,507.97

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Solution

The fourth proportional to 21,158.25, 31,740.73 and 8,507.97 is: 12,763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,158.25 : 31,740.73 = 8,507.97 : x
  2. Step 2: Convert to fraction form
    21,158.25/31,740.73 = 8,507.97/x
  3. Step 3: Cross multiply
    21,158.25x = 31,740.73 × 8,507.97
  4. Step 4: Simplify right side
    21,158.25x = 270,049,157.35
  5. Step 5: Solve for x
    x = 270,049,157.35/21,158.25
  6. Step 6: Final answer
    x = 12,763.31

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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.