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Finding the Fourth Proportional to 19,608.68, 29,414.54 and 11,764.64

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Solution

The fourth proportional to 19,608.68, 29,414.54 and 11,764.64 is: 17,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.68 : 29,414.54 = 11,764.64 : x
  2. Step 2: Convert to fraction form
    19,608.68/29,414.54 = 11,764.64/x
  3. Step 3: Cross multiply
    19,608.68x = 29,414.54 × 11,764.64
  4. Step 4: Simplify right side
    19,608.68x = 346,051,576.81
  5. Step 5: Solve for x
    x = 346,051,576.81/19,608.68
  6. Step 6: Final answer
    x = 17,647.87

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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.