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Finding the Fourth Proportional to 13,886.34, 20,831.67 and 4,524.18

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Solution

The fourth proportional to 13,886.34, 20,831.67 and 4,524.18 is: 6,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.34 : 20,831.67 = 4,524.18 : x
  2. Step 2: Convert to fraction form
    13,886.34/20,831.67 = 4,524.18/x
  3. Step 3: Cross multiply
    13,886.34x = 20,831.67 × 4,524.18
  4. Step 4: Simplify right side
    13,886.34x = 94,246,208.43
  5. Step 5: Solve for x
    x = 94,246,208.43/13,886.34
  6. Step 6: Final answer
    x = 6,786.97

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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.