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Finding the Fourth Proportional to 27,858.42, 41,798.28 and 16,773

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Solution

The fourth proportional to 27,858.42, 41,798.28 and 16,773 is: 25,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.42 : 41,798.28 = 16,773 : x
  2. Step 2: Convert to fraction form
    27,858.42/41,798.28 = 16,773/x
  3. Step 3: Cross multiply
    27,858.42x = 41,798.28 × 16,773
  4. Step 4: Simplify right side
    27,858.42x = 701,082,550.44
  5. Step 5: Solve for x
    x = 701,082,550.44/27,858.42
  6. Step 6: Final answer
    x = 25,165.91

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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.