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Finding the Fourth Proportional to 19,831.86, 27,358.43 and 11,443.50

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Solution

The fourth proportional to 19,831.86, 27,358.43 and 11,443.50 is: 15,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.86 : 27,358.43 = 11,443.50 : x
  2. Step 2: Convert to fraction form
    19,831.86/27,358.43 = 11,443.50/x
  3. Step 3: Cross multiply
    19,831.86x = 27,358.43 × 11,443.50
  4. Step 4: Simplify right side
    19,831.86x = 313,076,136.49
  5. Step 5: Solve for x
    x = 313,076,136.49/19,831.86
  6. Step 6: Final answer
    x = 15,786.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.