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Finding the Fourth Proportional to 20,871.75, 31,292.74 and 9,772.36

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Solution

The fourth proportional to 20,871.75, 31,292.74 and 9,772.36 is: 14,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.75 : 31,292.74 = 9,772.36 : x
  2. Step 2: Convert to fraction form
    20,871.75/31,292.74 = 9,772.36/x
  3. Step 3: Cross multiply
    20,871.75x = 31,292.74 × 9,772.36
  4. Step 4: Simplify right side
    20,871.75x = 305,803,920.67
  5. Step 5: Solve for x
    x = 305,803,920.67/20,871.75
  6. Step 6: Final answer
    x = 14,651.57

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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.