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Finding the Fourth Proportional to 18,647.86, 27,964.75 and 5,496.50

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Solution

The fourth proportional to 18,647.86, 27,964.75 and 5,496.50 is: 8,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.86 : 27,964.75 = 5,496.50 : x
  2. Step 2: Convert to fraction form
    18,647.86/27,964.75 = 5,496.50/x
  3. Step 3: Cross multiply
    18,647.86x = 27,964.75 × 5,496.50
  4. Step 4: Simplify right side
    18,647.86x = 153,708,248.38
  5. Step 5: Solve for x
    x = 153,708,248.38/18,647.86
  6. Step 6: Final answer
    x = 8,242.67

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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.