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Finding the Fourth Proportional to 12,142.70, 18,199.43 and 5,120

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Solution

The fourth proportional to 12,142.70, 18,199.43 and 5,120 is: 7,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.70 : 18,199.43 = 5,120 : x
  2. Step 2: Convert to fraction form
    12,142.70/18,199.43 = 5,120/x
  3. Step 3: Cross multiply
    12,142.70x = 18,199.43 × 5,120
  4. Step 4: Simplify right side
    12,142.70x = 93,181,081.60
  5. Step 5: Solve for x
    x = 93,181,081.60/12,142.70
  6. Step 6: Final answer
    x = 7,673.84

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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.