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Finding the Fourth Proportional to 22,342, 33,514.08 and 6,759.76

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Solution

The fourth proportional to 22,342, 33,514.08 and 6,759.76 is: 10,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342 : 33,514.08 = 6,759.76 : x
  2. Step 2: Convert to fraction form
    22,342/33,514.08 = 6,759.76/x
  3. Step 3: Cross multiply
    22,342x = 33,514.08 × 6,759.76
  4. Step 4: Simplify right side
    22,342x = 226,547,137.42
  5. Step 5: Solve for x
    x = 226,547,137.42/22,342
  6. Step 6: Final answer
    x = 10,139.97

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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.