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Finding the Fourth Proportional to 20,142.32, 30,208.91 and 7,657.91

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Solution

The fourth proportional to 20,142.32, 30,208.91 and 7,657.91 is: 11,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.32 : 30,208.91 = 7,657.91 : x
  2. Step 2: Convert to fraction form
    20,142.32/30,208.91 = 7,657.91/x
  3. Step 3: Cross multiply
    20,142.32x = 30,208.91 × 7,657.91
  4. Step 4: Simplify right side
    20,142.32x = 231,336,962.93
  5. Step 5: Solve for x
    x = 231,336,962.93/20,142.32
  6. Step 6: Final answer
    x = 11,485.12

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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.