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Finding the Fourth Proportional to 19,566, 29,321.46 and 8,464.14

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Solution

The fourth proportional to 19,566, 29,321.46 and 8,464.14 is: 12,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,566 : 29,321.46 = 8,464.14 : x
  2. Step 2: Convert to fraction form
    19,566/29,321.46 = 8,464.14/x
  3. Step 3: Cross multiply
    19,566x = 29,321.46 × 8,464.14
  4. Step 4: Simplify right side
    19,566x = 248,180,942.44
  5. Step 5: Solve for x
    x = 248,180,942.44/19,566
  6. Step 6: Final answer
    x = 12,684.30

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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.