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Finding the Fourth Proportional to 11,923.66, 17,798 and 11,044

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Solution

The fourth proportional to 11,923.66, 17,798 and 11,044 is: 16,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.66 : 17,798 = 11,044 : x
  2. Step 2: Convert to fraction form
    11,923.66/17,798 = 11,044/x
  3. Step 3: Cross multiply
    11,923.66x = 17,798 × 11,044
  4. Step 4: Simplify right side
    11,923.66x = 196,561,112
  5. Step 5: Solve for x
    x = 196,561,112/11,923.66
  6. Step 6: Final answer
    x = 16,484.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.