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Finding the Fourth Proportional to 20,733.01, 31,105.76 and 7,404.30

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Solution

The fourth proportional to 20,733.01, 31,105.76 and 7,404.30 is: 11,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,733.01 : 31,105.76 = 7,404.30 : x
  2. Step 2: Convert to fraction form
    20,733.01/31,105.76 = 7,404.30/x
  3. Step 3: Cross multiply
    20,733.01x = 31,105.76 × 7,404.30
  4. Step 4: Simplify right side
    20,733.01x = 230,316,341.75
  5. Step 5: Solve for x
    x = 230,316,341.75/20,733.01
  6. Step 6: Final answer
    x = 11,108.68

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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.