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Finding the Fourth Proportional to 20,881.98, 31,329.99 and 7,735.41

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Solution

The fourth proportional to 20,881.98, 31,329.99 and 7,735.41 is: 11,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.98 : 31,329.99 = 7,735.41 : x
  2. Step 2: Convert to fraction form
    20,881.98/31,329.99 = 7,735.41/x
  3. Step 3: Cross multiply
    20,881.98x = 31,329.99 × 7,735.41
  4. Step 4: Simplify right side
    20,881.98x = 242,350,317.95
  5. Step 5: Solve for x
    x = 242,350,317.95/20,881.98
  6. Step 6: Final answer
    x = 11,605.72

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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.