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Finding the Fourth Proportional to 15,763.50, 23,642.82 and 5,238.09

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Solution

The fourth proportional to 15,763.50, 23,642.82 and 5,238.09 is: 7,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763.50 : 23,642.82 = 5,238.09 : x
  2. Step 2: Convert to fraction form
    15,763.50/23,642.82 = 5,238.09/x
  3. Step 3: Cross multiply
    15,763.50x = 23,642.82 × 5,238.09
  4. Step 4: Simplify right side
    15,763.50x = 123,843,219.01
  5. Step 5: Solve for x
    x = 123,843,219.01/15,763.50
  6. Step 6: Final answer
    x = 7,856.33

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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.