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Finding the Fourth Proportional to 13,074.46, 19,608.49 and 6,141.98

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Solution

The fourth proportional to 13,074.46, 19,608.49 and 6,141.98 is: 9,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.46 : 19,608.49 = 6,141.98 : x
  2. Step 2: Convert to fraction form
    13,074.46/19,608.49 = 6,141.98/x
  3. Step 3: Cross multiply
    13,074.46x = 19,608.49 × 6,141.98
  4. Step 4: Simplify right side
    13,074.46x = 120,434,953.41
  5. Step 5: Solve for x
    x = 120,434,953.41/13,074.46
  6. Step 6: Final answer
    x = 9,211.47

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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.