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Finding the Fourth Proportional to 21,378.98, 32,069.19 and 5,796.98

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Solution

The fourth proportional to 21,378.98, 32,069.19 and 5,796.98 is: 8,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378.98 : 32,069.19 = 5,796.98 : x
  2. Step 2: Convert to fraction form
    21,378.98/32,069.19 = 5,796.98/x
  3. Step 3: Cross multiply
    21,378.98x = 32,069.19 × 5,796.98
  4. Step 4: Simplify right side
    21,378.98x = 185,904,453.05
  5. Step 5: Solve for x
    x = 185,904,453.05/21,378.98
  6. Step 6: Final answer
    x = 8,695.67

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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.