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Finding the Fourth Proportional to 27,894.48, 41,842.73 and 8,922.96

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Solution

The fourth proportional to 27,894.48, 41,842.73 and 8,922.96 is: 13,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.48 : 41,842.73 = 8,922.96 : x
  2. Step 2: Convert to fraction form
    27,894.48/41,842.73 = 8,922.96/x
  3. Step 3: Cross multiply
    27,894.48x = 41,842.73 × 8,922.96
  4. Step 4: Simplify right side
    27,894.48x = 373,360,978.20
  5. Step 5: Solve for x
    x = 373,360,978.20/27,894.48
  6. Step 6: Final answer
    x = 13,384.76

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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.