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Finding the Fourth Proportional to 20,772.50, 31,109.09 and 11,980.76

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Solution

The fourth proportional to 20,772.50, 31,109.09 and 11,980.76 is: 17,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772.50 : 31,109.09 = 11,980.76 : x
  2. Step 2: Convert to fraction form
    20,772.50/31,109.09 = 11,980.76/x
  3. Step 3: Cross multiply
    20,772.50x = 31,109.09 × 11,980.76
  4. Step 4: Simplify right side
    20,772.50x = 372,710,558.98
  5. Step 5: Solve for x
    x = 372,710,558.98/20,772.50
  6. Step 6: Final answer
    x = 17,942.50

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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.