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Finding the Fourth Proportional to 20,001.72, 29,992.52 and 6,670

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Solution

The fourth proportional to 20,001.72, 29,992.52 and 6,670 is: 10,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,001.72 : 29,992.52 = 6,670 : x
  2. Step 2: Convert to fraction form
    20,001.72/29,992.52 = 6,670/x
  3. Step 3: Cross multiply
    20,001.72x = 29,992.52 × 6,670
  4. Step 4: Simplify right side
    20,001.72x = 200,050,108.40
  5. Step 5: Solve for x
    x = 200,050,108.40/20,001.72
  6. Step 6: Final answer
    x = 10,001.65

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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.