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Finding the Fourth Proportional to 20,861.24, 31,285.38 and 7,007

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Solution

The fourth proportional to 20,861.24, 31,285.38 and 7,007 is: 10,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.24 : 31,285.38 = 7,007 : x
  2. Step 2: Convert to fraction form
    20,861.24/31,285.38 = 7,007/x
  3. Step 3: Cross multiply
    20,861.24x = 31,285.38 × 7,007
  4. Step 4: Simplify right side
    20,861.24x = 219,216,657.66
  5. Step 5: Solve for x
    x = 219,216,657.66/20,861.24
  6. Step 6: Final answer
    x = 10,508.32

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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.