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Finding the Fourth Proportional to 27,658.84, 38,168.38 and 15,723.48

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Solution

The fourth proportional to 27,658.84, 38,168.38 and 15,723.48 is: 21,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658.84 : 38,168.38 = 15,723.48 : x
  2. Step 2: Convert to fraction form
    27,658.84/38,168.38 = 15,723.48/x
  3. Step 3: Cross multiply
    27,658.84x = 38,168.38 × 15,723.48
  4. Step 4: Simplify right side
    27,658.84x = 600,139,759.56
  5. Step 5: Solve for x
    x = 600,139,759.56/27,658.84
  6. Step 6: Final answer
    x = 21,697.94

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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.