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Finding the Fourth Proportional to 24,311.54, 36,467.32 and 7,673.26

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Solution

The fourth proportional to 24,311.54, 36,467.32 and 7,673.26 is: 11,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.54 : 36,467.32 = 7,673.26 : x
  2. Step 2: Convert to fraction form
    24,311.54/36,467.32 = 7,673.26/x
  3. Step 3: Cross multiply
    24,311.54x = 36,467.32 × 7,673.26
  4. Step 4: Simplify right side
    24,311.54x = 279,823,170.57
  5. Step 5: Solve for x
    x = 279,823,170.57/24,311.54
  6. Step 6: Final answer
    x = 11,509.89

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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.