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Finding the Fourth Proportional to 27,895.87, 41,841.78 and 9,175.69

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Solution

The fourth proportional to 27,895.87, 41,841.78 and 9,175.69 is: 13,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,895.87 : 41,841.78 = 9,175.69 : x
  2. Step 2: Convert to fraction form
    27,895.87/41,841.78 = 9,175.69/x
  3. Step 3: Cross multiply
    27,895.87x = 41,841.78 × 9,175.69
  4. Step 4: Simplify right side
    27,895.87x = 383,927,156.45
  5. Step 5: Solve for x
    x = 383,927,156.45/27,895.87
  6. Step 6: Final answer
    x = 13,762.87

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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.