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Finding the Fourth Proportional to 27,471.38, 37,899.79 and 17,922.50

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Solution

The fourth proportional to 27,471.38, 37,899.79 and 17,922.50 is: 24,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.38 : 37,899.79 = 17,922.50 : x
  2. Step 2: Convert to fraction form
    27,471.38/37,899.79 = 17,922.50/x
  3. Step 3: Cross multiply
    27,471.38x = 37,899.79 × 17,922.50
  4. Step 4: Simplify right side
    27,471.38x = 679,258,986.28
  5. Step 5: Solve for x
    x = 679,258,986.28/27,471.38
  6. Step 6: Final answer
    x = 24,726.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.