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Finding the Fourth Proportional to 27,894.58, 41,844.50 and 9,174.77

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Solution

The fourth proportional to 27,894.58, 41,844.50 and 9,174.77 is: 13,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.58 : 41,844.50 = 9,174.77 : x
  2. Step 2: Convert to fraction form
    27,894.58/41,844.50 = 9,174.77/x
  3. Step 3: Cross multiply
    27,894.58x = 41,844.50 × 9,174.77
  4. Step 4: Simplify right side
    27,894.58x = 383,913,599.49
  5. Step 5: Solve for x
    x = 383,913,599.49/27,894.58
  6. Step 6: Final answer
    x = 13,763.02

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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.