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Finding the Fourth Proportional to 19,794.70, 29,695.16 and 6,644.08

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Solution

The fourth proportional to 19,794.70, 29,695.16 and 6,644.08 is: 9,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794.70 : 29,695.16 = 6,644.08 : x
  2. Step 2: Convert to fraction form
    19,794.70/29,695.16 = 6,644.08/x
  3. Step 3: Cross multiply
    19,794.70x = 29,695.16 × 6,644.08
  4. Step 4: Simplify right side
    19,794.70x = 197,297,018.65
  5. Step 5: Solve for x
    x = 197,297,018.65/19,794.70
  6. Step 6: Final answer
    x = 9,967.16

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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.