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Finding the Fourth Proportional to 20,861.36, 31,296.72 and 7,010

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Solution

The fourth proportional to 20,861.36, 31,296.72 and 7,010 is: 10,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.36 : 31,296.72 = 7,010 : x
  2. Step 2: Convert to fraction form
    20,861.36/31,296.72 = 7,010/x
  3. Step 3: Cross multiply
    20,861.36x = 31,296.72 × 7,010
  4. Step 4: Simplify right side
    20,861.36x = 219,390,007.20
  5. Step 5: Solve for x
    x = 219,390,007.20/20,861.36
  6. Step 6: Final answer
    x = 10,516.57

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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.