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Finding the Fourth Proportional to 19,474.94, 29,204.72 and 8,382.46

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Solution

The fourth proportional to 19,474.94, 29,204.72 and 8,382.46 is: 12,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474.94 : 29,204.72 = 8,382.46 : x
  2. Step 2: Convert to fraction form
    19,474.94/29,204.72 = 8,382.46/x
  3. Step 3: Cross multiply
    19,474.94x = 29,204.72 × 8,382.46
  4. Step 4: Simplify right side
    19,474.94x = 244,807,397.21
  5. Step 5: Solve for x
    x = 244,807,397.21/19,474.94
  6. Step 6: Final answer
    x = 12,570.38

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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.