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Finding the Fourth Proportional to 19,831.63, 27,367.64 and 11,448.13

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Solution

The fourth proportional to 19,831.63, 27,367.64 and 11,448.13 is: 15,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.63 : 27,367.64 = 11,448.13 : x
  2. Step 2: Convert to fraction form
    19,831.63/27,367.64 = 11,448.13/x
  3. Step 3: Cross multiply
    19,831.63x = 27,367.64 × 11,448.13
  4. Step 4: Simplify right side
    19,831.63x = 313,308,300.51
  5. Step 5: Solve for x
    x = 313,308,300.51/19,831.63
  6. Step 6: Final answer
    x = 15,798.41

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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.