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Finding the Fourth Proportional to 22,464, 33,693.30 and 7,672.59

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Solution

The fourth proportional to 22,464, 33,693.30 and 7,672.59 is: 11,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464 : 33,693.30 = 7,672.59 : x
  2. Step 2: Convert to fraction form
    22,464/33,693.30 = 7,672.59/x
  3. Step 3: Cross multiply
    22,464x = 33,693.30 × 7,672.59
  4. Step 4: Simplify right side
    22,464x = 258,514,876.65
  5. Step 5: Solve for x
    x = 258,514,876.65/22,464
  6. Step 6: Final answer
    x = 11,507.96

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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.