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Finding the Fourth Proportional to 19,426.42, 29,142.06 and 6,944.73

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Solution

The fourth proportional to 19,426.42, 29,142.06 and 6,944.73 is: 10,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,426.42 : 29,142.06 = 6,944.73 : x
  2. Step 2: Convert to fraction form
    19,426.42/29,142.06 = 6,944.73/x
  3. Step 3: Cross multiply
    19,426.42x = 29,142.06 × 6,944.73
  4. Step 4: Simplify right side
    19,426.42x = 202,383,738.34
  5. Step 5: Solve for x
    x = 202,383,738.34/19,426.42
  6. Step 6: Final answer
    x = 10,417.96

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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.