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Finding the Fourth Proportional to 15,200.83, 20,952.06 and 10,163.23

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Solution

The fourth proportional to 15,200.83, 20,952.06 and 10,163.23 is: 14,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.83 : 20,952.06 = 10,163.23 : x
  2. Step 2: Convert to fraction form
    15,200.83/20,952.06 = 10,163.23/x
  3. Step 3: Cross multiply
    15,200.83x = 20,952.06 × 10,163.23
  4. Step 4: Simplify right side
    15,200.83x = 212,940,604.75
  5. Step 5: Solve for x
    x = 212,940,604.75/15,200.83
  6. Step 6: Final answer
    x = 14,008.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.