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Finding the Fourth Proportional to 15,462.50, 23,163.03 and 7,647.46

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Solution

The fourth proportional to 15,462.50, 23,163.03 and 7,647.46 is: 11,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,462.50 : 23,163.03 = 7,647.46 : x
  2. Step 2: Convert to fraction form
    15,462.50/23,163.03 = 7,647.46/x
  3. Step 3: Cross multiply
    15,462.50x = 23,163.03 × 7,647.46
  4. Step 4: Simplify right side
    15,462.50x = 177,138,345.40
  5. Step 5: Solve for x
    x = 177,138,345.40/15,462.50
  6. Step 6: Final answer
    x = 11,456.00

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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.