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Finding the Fourth Proportional to 13,249.57, 19,831.09 and 9,738.65

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Solution

The fourth proportional to 13,249.57, 19,831.09 and 9,738.65 is: 14,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.57 : 19,831.09 = 9,738.65 : x
  2. Step 2: Convert to fraction form
    13,249.57/19,831.09 = 9,738.65/x
  3. Step 3: Cross multiply
    13,249.57x = 19,831.09 × 9,738.65
  4. Step 4: Simplify right side
    13,249.57x = 193,127,995.94
  5. Step 5: Solve for x
    x = 193,127,995.94/13,249.57
  6. Step 6: Final answer
    x = 14,576.17

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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.