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Finding the Fourth Proportional to 14,590.78, 21,892.11 and 6,794.80

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Solution

The fourth proportional to 14,590.78, 21,892.11 and 6,794.80 is: 10,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.78 : 21,892.11 = 6,794.80 : x
  2. Step 2: Convert to fraction form
    14,590.78/21,892.11 = 6,794.80/x
  3. Step 3: Cross multiply
    14,590.78x = 21,892.11 × 6,794.80
  4. Step 4: Simplify right side
    14,590.78x = 148,752,509.03
  5. Step 5: Solve for x
    x = 148,752,509.03/14,590.78
  6. Step 6: Final answer
    x = 10,194.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.