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Finding the Fourth Proportional to 20,882.12, 31,321.55 and 5,888.64

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Solution

The fourth proportional to 20,882.12, 31,321.55 and 5,888.64 is: 8,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882.12 : 31,321.55 = 5,888.64 : x
  2. Step 2: Convert to fraction form
    20,882.12/31,321.55 = 5,888.64/x
  3. Step 3: Cross multiply
    20,882.12x = 31,321.55 × 5,888.64
  4. Step 4: Simplify right side
    20,882.12x = 184,441,146.14
  5. Step 5: Solve for x
    x = 184,441,146.14/20,882.12
  6. Step 6: Final answer
    x = 8,832.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.