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Finding the Fourth Proportional to 22,979.56, 34,474.88 and 7,984.50

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Solution

The fourth proportional to 22,979.56, 34,474.88 and 7,984.50 is: 11,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,979.56 : 34,474.88 = 7,984.50 : x
  2. Step 2: Convert to fraction form
    22,979.56/34,474.88 = 7,984.50/x
  3. Step 3: Cross multiply
    22,979.56x = 34,474.88 × 7,984.50
  4. Step 4: Simplify right side
    22,979.56x = 275,264,679.36
  5. Step 5: Solve for x
    x = 275,264,679.36/22,979.56
  6. Step 6: Final answer
    x = 11,978.67

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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.