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Finding the Fourth Proportional to 13,831.97, 19,089 and 7,864.29

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Solution

The fourth proportional to 13,831.97, 19,089 and 7,864.29 is: 10,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.97 : 19,089 = 7,864.29 : x
  2. Step 2: Convert to fraction form
    13,831.97/19,089 = 7,864.29/x
  3. Step 3: Cross multiply
    13,831.97x = 19,089 × 7,864.29
  4. Step 4: Simplify right side
    13,831.97x = 150,121,431.81
  5. Step 5: Solve for x
    x = 150,121,431.81/13,831.97
  6. Step 6: Final answer
    x = 10,853.23

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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.