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Finding the Fourth Proportional to 13,249.46, 19,830.92 and 9,738.54

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Solution

The fourth proportional to 13,249.46, 19,830.92 and 9,738.54 is: 14,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.46 : 19,830.92 = 9,738.54 : x
  2. Step 2: Convert to fraction form
    13,249.46/19,830.92 = 9,738.54/x
  3. Step 3: Cross multiply
    13,249.46x = 19,830.92 × 9,738.54
  4. Step 4: Simplify right side
    13,249.46x = 193,124,158.96
  5. Step 5: Solve for x
    x = 193,124,158.96/13,249.46
  6. Step 6: Final answer
    x = 14,576.01

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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.