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Finding the Fourth Proportional to 20,461.13, 30,691.60 and 5,670

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Solution

The fourth proportional to 20,461.13, 30,691.60 and 5,670 is: 8,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.13 : 30,691.60 = 5,670 : x
  2. Step 2: Convert to fraction form
    20,461.13/30,691.60 = 5,670/x
  3. Step 3: Cross multiply
    20,461.13x = 30,691.60 × 5,670
  4. Step 4: Simplify right side
    20,461.13x = 174,021,372
  5. Step 5: Solve for x
    x = 174,021,372/20,461.13
  6. Step 6: Final answer
    x = 8,504.98

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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.