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Finding the Fourth Proportional to 27,187.84, 37,523.01 and 19,658.49

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Solution

The fourth proportional to 27,187.84, 37,523.01 and 19,658.49 is: 27,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,187.84 : 37,523.01 = 19,658.49 : x
  2. Step 2: Convert to fraction form
    27,187.84/37,523.01 = 19,658.49/x
  3. Step 3: Cross multiply
    27,187.84x = 37,523.01 × 19,658.49
  4. Step 4: Simplify right side
    27,187.84x = 737,645,716.85
  5. Step 5: Solve for x
    x = 737,645,716.85/27,187.84
  6. Step 6: Final answer
    x = 27,131.46

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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.