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Finding the Fourth Proportional to 27,770.74, 38,299.39 and 19,688.43

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Solution

The fourth proportional to 27,770.74, 38,299.39 and 19,688.43 is: 27,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.74 : 38,299.39 = 19,688.43 : x
  2. Step 2: Convert to fraction form
    27,770.74/38,299.39 = 19,688.43/x
  3. Step 3: Cross multiply
    27,770.74x = 38,299.39 × 19,688.43
  4. Step 4: Simplify right side
    27,770.74x = 754,054,859.06
  5. Step 5: Solve for x
    x = 754,054,859.06/27,770.74
  6. Step 6: Final answer
    x = 27,152.85

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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.