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Finding the Fourth Proportional to 27,162.78, 40,744.17 and 8,437.78

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Solution

The fourth proportional to 27,162.78, 40,744.17 and 8,437.78 is: 12,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,162.78 : 40,744.17 = 8,437.78 : x
  2. Step 2: Convert to fraction form
    27,162.78/40,744.17 = 8,437.78/x
  3. Step 3: Cross multiply
    27,162.78x = 40,744.17 × 8,437.78
  4. Step 4: Simplify right side
    27,162.78x = 343,790,393.67
  5. Step 5: Solve for x
    x = 343,790,393.67/27,162.78
  6. Step 6: Final answer
    x = 12,656.67

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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.