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Finding the Fourth Proportional to 12,136.64, 16,743.12 and 7,420.04

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Solution

The fourth proportional to 12,136.64, 16,743.12 and 7,420.04 is: 10,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.64 : 16,743.12 = 7,420.04 : x
  2. Step 2: Convert to fraction form
    12,136.64/16,743.12 = 7,420.04/x
  3. Step 3: Cross multiply
    12,136.64x = 16,743.12 × 7,420.04
  4. Step 4: Simplify right side
    12,136.64x = 124,234,620.12
  5. Step 5: Solve for x
    x = 124,234,620.12/12,136.64
  6. Step 6: Final answer
    x = 10,236.33

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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.