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Finding the Fourth Proportional to 14,163.78, 19,537.40 and 10,190.28

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Solution

The fourth proportional to 14,163.78, 19,537.40 and 10,190.28 is: 14,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.78 : 19,537.40 = 10,190.28 : x
  2. Step 2: Convert to fraction form
    14,163.78/19,537.40 = 10,190.28/x
  3. Step 3: Cross multiply
    14,163.78x = 19,537.40 × 10,190.28
  4. Step 4: Simplify right side
    14,163.78x = 199,091,525.52
  5. Step 5: Solve for x
    x = 199,091,525.52/14,163.78
  6. Step 6: Final answer
    x = 14,056.38

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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.