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Finding the Fourth Proportional to 24,375.70, 36,569.01 and 7,736.28

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Solution

The fourth proportional to 24,375.70, 36,569.01 and 7,736.28 is: 11,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.70 : 36,569.01 = 7,736.28 : x
  2. Step 2: Convert to fraction form
    24,375.70/36,569.01 = 7,736.28/x
  3. Step 3: Cross multiply
    24,375.70x = 36,569.01 × 7,736.28
  4. Step 4: Simplify right side
    24,375.70x = 282,907,992.56
  5. Step 5: Solve for x
    x = 282,907,992.56/24,375.70
  6. Step 6: Final answer
    x = 11,606.15

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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.