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Finding the Fourth Proportional to 27,770.79, 41,635.36 and 9,039.63

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Solution

The fourth proportional to 27,770.79, 41,635.36 and 9,039.63 is: 13,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.79 : 41,635.36 = 9,039.63 : x
  2. Step 2: Convert to fraction form
    27,770.79/41,635.36 = 9,039.63/x
  3. Step 3: Cross multiply
    27,770.79x = 41,635.36 × 9,039.63
  4. Step 4: Simplify right side
    27,770.79x = 376,368,249.32
  5. Step 5: Solve for x
    x = 376,368,249.32/27,770.79
  6. Step 6: Final answer
    x = 13,552.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.