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Finding the Fourth Proportional to 13,142.43, 19,712.03 and 5,351.31

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Solution

The fourth proportional to 13,142.43, 19,712.03 and 5,351.31 is: 8,026.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.43 : 19,712.03 = 5,351.31 : x
  2. Step 2: Convert to fraction form
    13,142.43/19,712.03 = 5,351.31/x
  3. Step 3: Cross multiply
    13,142.43x = 19,712.03 × 5,351.31
  4. Step 4: Simplify right side
    13,142.43x = 105,485,156.50
  5. Step 5: Solve for x
    x = 105,485,156.50/13,142.43
  6. Step 6: Final answer
    x = 8,026.31

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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.