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Finding the Fourth Proportional to 19,591.20, 29,388.72 and 6,438.24

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Solution

The fourth proportional to 19,591.20, 29,388.72 and 6,438.24 is: 9,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,591.20 : 29,388.72 = 6,438.24 : x
  2. Step 2: Convert to fraction form
    19,591.20/29,388.72 = 6,438.24/x
  3. Step 3: Cross multiply
    19,591.20x = 29,388.72 × 6,438.24
  4. Step 4: Simplify right side
    19,591.20x = 189,211,632.65
  5. Step 5: Solve for x
    x = 189,211,632.65/19,591.20
  6. Step 6: Final answer
    x = 9,657.99

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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.