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Finding the Fourth Proportional to 22,590.92, 33,878.28 and 7,796

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Solution

The fourth proportional to 22,590.92, 33,878.28 and 7,796 is: 11,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,590.92 : 33,878.28 = 7,796 : x
  2. Step 2: Convert to fraction form
    22,590.92/33,878.28 = 7,796/x
  3. Step 3: Cross multiply
    22,590.92x = 33,878.28 × 7,796
  4. Step 4: Simplify right side
    22,590.92x = 264,115,070.88
  5. Step 5: Solve for x
    x = 264,115,070.88/22,590.92
  6. Step 6: Final answer
    x = 11,691.20

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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.