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Finding the Fourth Proportional to 13,643.91, 18,831.21 and 8,541.81

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Solution

The fourth proportional to 13,643.91, 18,831.21 and 8,541.81 is: 11,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.91 : 18,831.21 = 8,541.81 : x
  2. Step 2: Convert to fraction form
    13,643.91/18,831.21 = 8,541.81/x
  3. Step 3: Cross multiply
    13,643.91x = 18,831.21 × 8,541.81
  4. Step 4: Simplify right side
    13,643.91x = 160,852,617.89
  5. Step 5: Solve for x
    x = 160,852,617.89/13,643.91
  6. Step 6: Final answer
    x = 11,789.33

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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.