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Finding the Fourth Proportional to 13,761.18, 20,643.57 and 5,000.22

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Solution

The fourth proportional to 13,761.18, 20,643.57 and 5,000.22 is: 7,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.18 : 20,643.57 = 5,000.22 : x
  2. Step 2: Convert to fraction form
    13,761.18/20,643.57 = 5,000.22/x
  3. Step 3: Cross multiply
    13,761.18x = 20,643.57 × 5,000.22
  4. Step 4: Simplify right side
    13,761.18x = 103,222,391.59
  5. Step 5: Solve for x
    x = 103,222,391.59/13,761.18
  6. Step 6: Final answer
    x = 7,500.98

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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.