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Finding the Fourth Proportional to 21,976.34, 32,964.18 and 5,336.50

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Solution

The fourth proportional to 21,976.34, 32,964.18 and 5,336.50 is: 8,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976.34 : 32,964.18 = 5,336.50 : x
  2. Step 2: Convert to fraction form
    21,976.34/32,964.18 = 5,336.50/x
  3. Step 3: Cross multiply
    21,976.34x = 32,964.18 × 5,336.50
  4. Step 4: Simplify right side
    21,976.34x = 175,913,346.57
  5. Step 5: Solve for x
    x = 175,913,346.57/21,976.34
  6. Step 6: Final answer
    x = 8,004.67

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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.