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Finding the Fourth Proportional to 20,699.25, 31,040.34 and 8,217.55

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Solution

The fourth proportional to 20,699.25, 31,040.34 and 8,217.55 is: 12,322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699.25 : 31,040.34 = 8,217.55 : x
  2. Step 2: Convert to fraction form
    20,699.25/31,040.34 = 8,217.55/x
  3. Step 3: Cross multiply
    20,699.25x = 31,040.34 × 8,217.55
  4. Step 4: Simplify right side
    20,699.25x = 255,075,545.97
  5. Step 5: Solve for x
    x = 255,075,545.97/20,699.25
  6. Step 6: Final answer
    x = 12,322.94

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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.