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Finding the Fourth Proportional to 24,369.88, 36,556.11 and 7,731.23

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Solution

The fourth proportional to 24,369.88, 36,556.11 and 7,731.23 is: 11,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,369.88 : 36,556.11 = 7,731.23 : x
  2. Step 2: Convert to fraction form
    24,369.88/36,556.11 = 7,731.23/x
  3. Step 3: Cross multiply
    24,369.88x = 36,556.11 × 7,731.23
  4. Step 4: Simplify right side
    24,369.88x = 282,623,717.16
  5. Step 5: Solve for x
    x = 282,623,717.16/24,369.88
  6. Step 6: Final answer
    x = 11,597.26

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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.