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Finding the Fourth Proportional to 13,724.84, 18,940.38 and 7,437.26

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Solution

The fourth proportional to 13,724.84, 18,940.38 and 7,437.26 is: 10,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.84 : 18,940.38 = 7,437.26 : x
  2. Step 2: Convert to fraction form
    13,724.84/18,940.38 = 7,437.26/x
  3. Step 3: Cross multiply
    13,724.84x = 18,940.38 × 7,437.26
  4. Step 4: Simplify right side
    13,724.84x = 140,864,530.56
  5. Step 5: Solve for x
    x = 140,864,530.56/13,724.84
  6. Step 6: Final answer
    x = 10,263.47

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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.