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Finding the Fourth Proportional to 20,715.75, 31,073.22 and 7,564.59

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Solution

The fourth proportional to 20,715.75, 31,073.22 and 7,564.59 is: 11,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.75 : 31,073.22 = 7,564.59 : x
  2. Step 2: Convert to fraction form
    20,715.75/31,073.22 = 7,564.59/x
  3. Step 3: Cross multiply
    20,715.75x = 31,073.22 × 7,564.59
  4. Step 4: Simplify right side
    20,715.75x = 235,056,169.28
  5. Step 5: Solve for x
    x = 235,056,169.28/20,715.75
  6. Step 6: Final answer
    x = 11,346.74

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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.