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Finding the Fourth Proportional to 20,871.76, 31,292.76 and 9,772.36

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Solution

The fourth proportional to 20,871.76, 31,292.76 and 9,772.36 is: 14,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.76 : 31,292.76 = 9,772.36 : x
  2. Step 2: Convert to fraction form
    20,871.76/31,292.76 = 9,772.36/x
  3. Step 3: Cross multiply
    20,871.76x = 31,292.76 × 9,772.36
  4. Step 4: Simplify right side
    20,871.76x = 305,804,116.11
  5. Step 5: Solve for x
    x = 305,804,116.11/20,871.76
  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.