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Finding the Fourth Proportional to 20,692.16, 31,033.20 and 5,902.40

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Solution

The fourth proportional to 20,692.16, 31,033.20 and 5,902.40 is: 8,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,692.16 : 31,033.20 = 5,902.40 : x
  2. Step 2: Convert to fraction form
    20,692.16/31,033.20 = 5,902.40/x
  3. Step 3: Cross multiply
    20,692.16x = 31,033.20 × 5,902.40
  4. Step 4: Simplify right side
    20,692.16x = 183,170,359.68
  5. Step 5: Solve for x
    x = 183,170,359.68/20,692.16
  6. Step 6: Final answer
    x = 8,852.16

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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.