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Finding the Fourth Proportional to 25,223.63, 37,840.44 and 7,454.61

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Solution

The fourth proportional to 25,223.63, 37,840.44 and 7,454.61 is: 11,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,223.63 : 37,840.44 = 7,454.61 : x
  2. Step 2: Convert to fraction form
    25,223.63/37,840.44 = 7,454.61/x
  3. Step 3: Cross multiply
    25,223.63x = 37,840.44 × 7,454.61
  4. Step 4: Simplify right side
    25,223.63x = 282,085,850.35
  5. Step 5: Solve for x
    x = 282,085,850.35/25,223.63
  6. Step 6: Final answer
    x = 11,183.39

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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.