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Finding the Fourth Proportional to 13,831.92, 20,731.14 and 9,928.26

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Solution

The fourth proportional to 13,831.92, 20,731.14 and 9,928.26 is: 14,880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.92 : 20,731.14 = 9,928.26 : x
  2. Step 2: Convert to fraction form
    13,831.92/20,731.14 = 9,928.26/x
  3. Step 3: Cross multiply
    13,831.92x = 20,731.14 × 9,928.26
  4. Step 4: Simplify right side
    13,831.92x = 205,824,148.02
  5. Step 5: Solve for x
    x = 205,824,148.02/13,831.92
  6. Step 6: Final answer
    x = 14,880.37

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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.