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Finding the Fourth Proportional to 27,678.87, 38,179.80 and 19,723.67

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Solution

The fourth proportional to 27,678.87, 38,179.80 and 19,723.67 is: 27,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.87 : 38,179.80 = 19,723.67 : x
  2. Step 2: Convert to fraction form
    27,678.87/38,179.80 = 19,723.67/x
  3. Step 3: Cross multiply
    27,678.87x = 38,179.80 × 19,723.67
  4. Step 4: Simplify right side
    27,678.87x = 753,045,606.45
  5. Step 5: Solve for x
    x = 753,045,606.45/27,678.87
  6. Step 6: Final answer
    x = 27,206.51

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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.