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Finding the Fourth Proportional to 12,090.40, 18,143.70 and 5,513.20

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Solution

The fourth proportional to 12,090.40, 18,143.70 and 5,513.20 is: 8,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.40 : 18,143.70 = 5,513.20 : x
  2. Step 2: Convert to fraction form
    12,090.40/18,143.70 = 5,513.20/x
  3. Step 3: Cross multiply
    12,090.40x = 18,143.70 × 5,513.20
  4. Step 4: Simplify right side
    12,090.40x = 100,029,846.84
  5. Step 5: Solve for x
    x = 100,029,846.84/12,090.40
  6. Step 6: Final answer
    x = 8,273.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.