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Finding the Fourth Proportional to 16,766.64, 23,142.24 and 9,692.16

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Solution

The fourth proportional to 16,766.64, 23,142.24 and 9,692.16 is: 13,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,766.64 : 23,142.24 = 9,692.16 : x
  2. Step 2: Convert to fraction form
    16,766.64/23,142.24 = 9,692.16/x
  3. Step 3: Cross multiply
    16,766.64x = 23,142.24 × 9,692.16
  4. Step 4: Simplify right side
    16,766.64x = 224,298,292.84
  5. Step 5: Solve for x
    x = 224,298,292.84/16,766.64
  6. Step 6: Final answer
    x = 13,377.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.