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Finding the Fourth Proportional to 27,180.42, 40,770.27 and 7,458.96

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Solution

The fourth proportional to 27,180.42, 40,770.27 and 7,458.96 is: 11,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180.42 : 40,770.27 = 7,458.96 : x
  2. Step 2: Convert to fraction form
    27,180.42/40,770.27 = 7,458.96/x
  3. Step 3: Cross multiply
    27,180.42x = 40,770.27 × 7,458.96
  4. Step 4: Simplify right side
    27,180.42x = 304,103,813.12
  5. Step 5: Solve for x
    x = 304,103,813.12/27,180.42
  6. Step 6: Final answer
    x = 11,188.34

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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.