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Finding the Fourth Proportional to 18,535.83, 27,796.24 and 11,505.43

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Solution

The fourth proportional to 18,535.83, 27,796.24 and 11,505.43 is: 17,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,535.83 : 27,796.24 = 11,505.43 : x
  2. Step 2: Convert to fraction form
    18,535.83/27,796.24 = 11,505.43/x
  3. Step 3: Cross multiply
    18,535.83x = 27,796.24 × 11,505.43
  4. Step 4: Simplify right side
    18,535.83x = 319,807,693.58
  5. Step 5: Solve for x
    x = 319,807,693.58/18,535.83
  6. Step 6: Final answer
    x = 17,253.49

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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.