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Finding the Fourth Proportional to 14,692.40, 22,016.71 and 8,120.46

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Solution

The fourth proportional to 14,692.40, 22,016.71 and 8,120.46 is: 12,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.40 : 22,016.71 = 8,120.46 : x
  2. Step 2: Convert to fraction form
    14,692.40/22,016.71 = 8,120.46/x
  3. Step 3: Cross multiply
    14,692.40x = 22,016.71 × 8,120.46
  4. Step 4: Simplify right side
    14,692.40x = 178,785,812.89
  5. Step 5: Solve for x
    x = 178,785,812.89/14,692.40
  6. Step 6: Final answer
    x = 12,168.59

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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.