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Finding the Fourth Proportional to 19,846.78, 29,767.36 and 6,697.42

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Solution

The fourth proportional to 19,846.78, 29,767.36 and 6,697.42 is: 10,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.78 : 29,767.36 = 6,697.42 : x
  2. Step 2: Convert to fraction form
    19,846.78/29,767.36 = 6,697.42/x
  3. Step 3: Cross multiply
    19,846.78x = 29,767.36 × 6,697.42
  4. Step 4: Simplify right side
    19,846.78x = 199,364,512.21
  5. Step 5: Solve for x
    x = 199,364,512.21/19,846.78
  6. Step 6: Final answer
    x = 10,045.18

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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.