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Finding the Fourth Proportional to 15,866.82, 23,782.41 and 7,540.02

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Solution

The fourth proportional to 15,866.82, 23,782.41 and 7,540.02 is: 11,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.82 : 23,782.41 = 7,540.02 : x
  2. Step 2: Convert to fraction form
    15,866.82/23,782.41 = 7,540.02/x
  3. Step 3: Cross multiply
    15,866.82x = 23,782.41 × 7,540.02
  4. Step 4: Simplify right side
    15,866.82x = 179,319,847.05
  5. Step 5: Solve for x
    x = 179,319,847.05/15,866.82
  6. Step 6: Final answer
    x = 11,301.56

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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.