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Finding the Fourth Proportional to 22,504.88, 33,762.10 and 7,709.82

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Solution

The fourth proportional to 22,504.88, 33,762.10 and 7,709.82 is: 11,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.88 : 33,762.10 = 7,709.82 : x
  2. Step 2: Convert to fraction form
    22,504.88/33,762.10 = 7,709.82/x
  3. Step 3: Cross multiply
    22,504.88x = 33,762.10 × 7,709.82
  4. Step 4: Simplify right side
    22,504.88x = 260,299,713.82
  5. Step 5: Solve for x
    x = 260,299,713.82/22,504.88
  6. Step 6: Final answer
    x = 11,566.37

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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.