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Finding the Fourth Proportional to 24,215.22, 36,321.45 and 7,573.28

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Solution

The fourth proportional to 24,215.22, 36,321.45 and 7,573.28 is: 11,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215.22 : 36,321.45 = 7,573.28 : x
  2. Step 2: Convert to fraction form
    24,215.22/36,321.45 = 7,573.28/x
  3. Step 3: Cross multiply
    24,215.22x = 36,321.45 × 7,573.28
  4. Step 4: Simplify right side
    24,215.22x = 275,072,505.16
  5. Step 5: Solve for x
    x = 275,072,505.16/24,215.22
  6. Step 6: Final answer
    x = 11,359.49

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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.