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Finding the Fourth Proportional to 27,876.60, 41,814.90 and 10,342.94

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Solution

The fourth proportional to 27,876.60, 41,814.90 and 10,342.94 is: 15,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.60 : 41,814.90 = 10,342.94 : x
  2. Step 2: Convert to fraction form
    27,876.60/41,814.90 = 10,342.94/x
  3. Step 3: Cross multiply
    27,876.60x = 41,814.90 × 10,342.94
  4. Step 4: Simplify right side
    27,876.60x = 432,488,792.73
  5. Step 5: Solve for x
    x = 432,488,792.73/27,876.60
  6. Step 6: Final answer
    x = 15,514.40

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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.