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Finding the Fourth Proportional to 20,972.30, 31,447.69 and 8,488.98

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Solution

The fourth proportional to 20,972.30, 31,447.69 and 8,488.98 is: 12,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.30 : 31,447.69 = 8,488.98 : x
  2. Step 2: Convert to fraction form
    20,972.30/31,447.69 = 8,488.98/x
  3. Step 3: Cross multiply
    20,972.30x = 31,447.69 × 8,488.98
  4. Step 4: Simplify right side
    20,972.30x = 266,958,749.54
  5. Step 5: Solve for x
    x = 266,958,749.54/20,972.30
  6. Step 6: Final answer
    x = 12,729.11

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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.