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Finding the Fourth Proportional to 13,738.62, 18,959.31 and 7,451.00

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Solution

The fourth proportional to 13,738.62, 18,959.31 and 7,451.00 is: 10,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.62 : 18,959.31 = 7,451.00 : x
  2. Step 2: Convert to fraction form
    13,738.62/18,959.31 = 7,451.00/x
  3. Step 3: Cross multiply
    13,738.62x = 18,959.31 × 7,451.00
  4. Step 4: Simplify right side
    13,738.62x = 141,265,724.01
  5. Step 5: Solve for x
    x = 141,265,724.01/13,738.62
  6. Step 6: Final answer
    x = 10,282.38

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Why These Related Problems?

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