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Finding the Fourth Proportional to 13,762.15, 18,991.25 and 7,474.39

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Solution

The fourth proportional to 13,762.15, 18,991.25 and 7,474.39 is: 10,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.15 : 18,991.25 = 7,474.39 : x
  2. Step 2: Convert to fraction form
    13,762.15/18,991.25 = 7,474.39/x
  3. Step 3: Cross multiply
    13,762.15x = 18,991.25 × 7,474.39
  4. Step 4: Simplify right side
    13,762.15x = 141,947,914.13
  5. Step 5: Solve for x
    x = 141,947,914.13/13,762.15
  6. Step 6: Final answer
    x = 10,314.37

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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.