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Finding the Fourth Proportional to 16,295.82, 24,447.73 and 5,202.50

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Solution

The fourth proportional to 16,295.82, 24,447.73 and 5,202.50 is: 7,805.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,295.82 : 24,447.73 = 5,202.50 : x
  2. Step 2: Convert to fraction form
    16,295.82/24,447.73 = 5,202.50/x
  3. Step 3: Cross multiply
    16,295.82x = 24,447.73 × 5,202.50
  4. Step 4: Simplify right side
    16,295.82x = 127,189,315.33
  5. Step 5: Solve for x
    x = 127,189,315.33/16,295.82
  6. Step 6: Final answer
    x = 7,805.03

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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.