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Finding the Fourth Proportional to 13,249.82, 19,831.46 and 9,738.90

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Solution

The fourth proportional to 13,249.82, 19,831.46 and 9,738.90 is: 14,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.82 : 19,831.46 = 9,738.90 : x
  2. Step 2: Convert to fraction form
    13,249.82/19,831.46 = 9,738.90/x
  3. Step 3: Cross multiply
    13,249.82x = 19,831.46 × 9,738.90
  4. Step 4: Simplify right side
    13,249.82x = 193,136,605.79
  5. Step 5: Solve for x
    x = 193,136,605.79/13,249.82
  6. Step 6: Final answer
    x = 14,576.55

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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.