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Finding the Fourth Proportional to 20,759.94, 31,144.77 and 7,618.50

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Solution

The fourth proportional to 20,759.94, 31,144.77 and 7,618.50 is: 11,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,759.94 : 31,144.77 = 7,618.50 : x
  2. Step 2: Convert to fraction form
    20,759.94/31,144.77 = 7,618.50/x
  3. Step 3: Cross multiply
    20,759.94x = 31,144.77 × 7,618.50
  4. Step 4: Simplify right side
    20,759.94x = 237,276,430.25
  5. Step 5: Solve for x
    x = 237,276,430.25/20,759.94
  6. Step 6: Final answer
    x = 11,429.53

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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.