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Finding the Fourth Proportional to 19,337, 29,005.62 and 6,857.32

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Solution

The fourth proportional to 19,337, 29,005.62 and 6,857.32 is: 10,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,337 : 29,005.62 = 6,857.32 : x
  2. Step 2: Convert to fraction form
    19,337/29,005.62 = 6,857.32/x
  3. Step 3: Cross multiply
    19,337x = 29,005.62 × 6,857.32
  4. Step 4: Simplify right side
    19,337x = 198,900,818.14
  5. Step 5: Solve for x
    x = 198,900,818.14/19,337
  6. Step 6: Final answer
    x = 10,286.02

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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.