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Finding the Fourth Proportional to 22,555.98, 33,825.63 and 7,760.82

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Solution

The fourth proportional to 22,555.98, 33,825.63 and 7,760.82 is: 11,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,555.98 : 33,825.63 = 7,760.82 : x
  2. Step 2: Convert to fraction form
    22,555.98/33,825.63 = 7,760.82/x
  3. Step 3: Cross multiply
    22,555.98x = 33,825.63 × 7,760.82
  4. Step 4: Simplify right side
    22,555.98x = 262,514,625.82
  5. Step 5: Solve for x
    x = 262,514,625.82/22,555.98
  6. Step 6: Final answer
    x = 11,638.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.