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Finding the Fourth Proportional to 27,894.57, 41,844.50 and 9,174.76

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Solution

The fourth proportional to 27,894.57, 41,844.50 and 9,174.76 is: 13,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.57 : 41,844.50 = 9,174.76 : x
  2. Step 2: Convert to fraction form
    27,894.57/41,844.50 = 9,174.76/x
  3. Step 3: Cross multiply
    27,894.57x = 41,844.50 × 9,174.76
  4. Step 4: Simplify right side
    27,894.57x = 383,913,128.74
  5. Step 5: Solve for x
    x = 383,913,128.74/27,894.57
  6. Step 6: Final answer
    x = 13,763.01

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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.