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Finding the Fourth Proportional to 15,832.55, 21,847.25 and 9,864.88

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Solution

The fourth proportional to 15,832.55, 21,847.25 and 9,864.88 is: 13,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.55 : 21,847.25 = 9,864.88 : x
  2. Step 2: Convert to fraction form
    15,832.55/21,847.25 = 9,864.88/x
  3. Step 3: Cross multiply
    15,832.55x = 21,847.25 × 9,864.88
  4. Step 4: Simplify right side
    15,832.55x = 215,520,469.62
  5. Step 5: Solve for x
    x = 215,520,469.62/15,832.55
  6. Step 6: Final answer
    x = 13,612.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.