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Finding the Fourth Proportional to 18,289.46, 27,428.74 and 7,759.32

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Solution

The fourth proportional to 18,289.46, 27,428.74 and 7,759.32 is: 11,636.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,289.46 : 27,428.74 = 7,759.32 : x
  2. Step 2: Convert to fraction form
    18,289.46/27,428.74 = 7,759.32/x
  3. Step 3: Cross multiply
    18,289.46x = 27,428.74 × 7,759.32
  4. Step 4: Simplify right side
    18,289.46x = 212,828,370.86
  5. Step 5: Solve for x
    x = 212,828,370.86/18,289.46
  6. Step 6: Final answer
    x = 11,636.67

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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.