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Finding the Fourth Proportional to 20,914.86, 31,376.97 and 7,063.50

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Solution

The fourth proportional to 20,914.86, 31,376.97 and 7,063.50 is: 10,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,914.86 : 31,376.97 = 7,063.50 : x
  2. Step 2: Convert to fraction form
    20,914.86/31,376.97 = 7,063.50/x
  3. Step 3: Cross multiply
    20,914.86x = 31,376.97 × 7,063.50
  4. Step 4: Simplify right side
    20,914.86x = 221,631,227.60
  5. Step 5: Solve for x
    x = 221,631,227.60/20,914.86
  6. Step 6: Final answer
    x = 10,596.83

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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.