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Finding the Fourth Proportional to 19,620.42, 29,421.18 and 6,467.64

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Solution

The fourth proportional to 19,620.42, 29,421.18 and 6,467.64 is: 9,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,620.42 : 29,421.18 = 6,467.64 : x
  2. Step 2: Convert to fraction form
    19,620.42/29,421.18 = 6,467.64/x
  3. Step 3: Cross multiply
    19,620.42x = 29,421.18 × 6,467.64
  4. Step 4: Simplify right side
    19,620.42x = 190,285,600.62
  5. Step 5: Solve for x
    x = 190,285,600.62/19,620.42
  6. Step 6: Final answer
    x = 9,698.34

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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.