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Finding the Fourth Proportional to 18,356.93, 27,538.94 and 7,826.77

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Solution

The fourth proportional to 18,356.93, 27,538.94 and 7,826.77 is: 11,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,356.93 : 27,538.94 = 7,826.77 : x
  2. Step 2: Convert to fraction form
    18,356.93/27,538.94 = 7,826.77/x
  3. Step 3: Cross multiply
    18,356.93x = 27,538.94 × 7,826.77
  4. Step 4: Simplify right side
    18,356.93x = 215,540,949.42
  5. Step 5: Solve for x
    x = 215,540,949.42/18,356.93
  6. Step 6: Final answer
    x = 11,741.67

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Why These Related Problems?

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