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Finding the Fourth Proportional to 27,185.29, 37,498.42 and 19,642.69

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Solution

The fourth proportional to 27,185.29, 37,498.42 and 19,642.69 is: 27,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,185.29 : 37,498.42 = 19,642.69 : x
  2. Step 2: Convert to fraction form
    27,185.29/37,498.42 = 19,642.69/x
  3. Step 3: Cross multiply
    27,185.29x = 37,498.42 × 19,642.69
  4. Step 4: Simplify right side
    27,185.29x = 736,569,910.98
  5. Step 5: Solve for x
    x = 736,569,910.98/27,185.29
  6. Step 6: Final answer
    x = 27,094.43

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