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Finding the Fourth Proportional to 22,302, 33,455.20 and 7,514.64

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Solution

The fourth proportional to 22,302, 33,455.20 and 7,514.64 is: 11,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302 : 33,455.20 = 7,514.64 : x
  2. Step 2: Convert to fraction form
    22,302/33,455.20 = 7,514.64/x
  3. Step 3: Cross multiply
    22,302x = 33,455.20 × 7,514.64
  4. Step 4: Simplify right side
    22,302x = 251,403,784.13
  5. Step 5: Solve for x
    x = 251,403,784.13/22,302
  6. Step 6: Final answer
    x = 11,272.70

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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.