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Finding the Fourth Proportional to 19,471.44, 29,199.48 and 8,378.96

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Solution

The fourth proportional to 19,471.44, 29,199.48 and 8,378.96 is: 12,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.44 : 29,199.48 = 8,378.96 : x
  2. Step 2: Convert to fraction form
    19,471.44/29,199.48 = 8,378.96/x
  3. Step 3: Cross multiply
    19,471.44x = 29,199.48 × 8,378.96
  4. Step 4: Simplify right side
    19,471.44x = 244,661,274.94
  5. Step 5: Solve for x
    x = 244,661,274.94/19,471.44
  6. Step 6: Final answer
    x = 12,565.14

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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.