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Finding the Fourth Proportional to 15,713.44, 23,550.06 and 7,375.02

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Solution

The fourth proportional to 15,713.44, 23,550.06 and 7,375.02 is: 11,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.44 : 23,550.06 = 7,375.02 : x
  2. Step 2: Convert to fraction form
    15,713.44/23,550.06 = 7,375.02/x
  3. Step 3: Cross multiply
    15,713.44x = 23,550.06 × 7,375.02
  4. Step 4: Simplify right side
    15,713.44x = 173,682,163.50
  5. Step 5: Solve for x
    x = 173,682,163.50/15,713.44
  6. Step 6: Final answer
    x = 11,053.10

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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.