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Finding the Fourth Proportional to 11,737.54, 17,578.50 and 10,190.26

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Solution

The fourth proportional to 11,737.54, 17,578.50 and 10,190.26 is: 15,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.54 : 17,578.50 = 10,190.26 : x
  2. Step 2: Convert to fraction form
    11,737.54/17,578.50 = 10,190.26/x
  3. Step 3: Cross multiply
    11,737.54x = 17,578.50 × 10,190.26
  4. Step 4: Simplify right side
    11,737.54x = 179,129,485.41
  5. Step 5: Solve for x
    x = 179,129,485.41/11,737.54
  6. Step 6: Final answer
    x = 15,261.25

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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.