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Finding the Fourth Proportional to 22,309.30, 33,455.42 and 7,514.24

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Solution

The fourth proportional to 22,309.30, 33,455.42 and 7,514.24 is: 11,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.30 : 33,455.42 = 7,514.24 : x
  2. Step 2: Convert to fraction form
    22,309.30/33,455.42 = 7,514.24/x
  3. Step 3: Cross multiply
    22,309.30x = 33,455.42 × 7,514.24
  4. Step 4: Simplify right side
    22,309.30x = 251,392,055.18
  5. Step 5: Solve for x
    x = 251,392,055.18/22,309.30
  6. Step 6: Final answer
    x = 11,268.49

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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.