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Finding the Fourth Proportional to 21,618.12, 29,831.22 and 12,189

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Solution

The fourth proportional to 21,618.12, 29,831.22 and 12,189 is: 16,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,618.12 : 29,831.22 = 12,189 : x
  2. Step 2: Convert to fraction form
    21,618.12/29,831.22 = 12,189/x
  3. Step 3: Cross multiply
    21,618.12x = 29,831.22 × 12,189
  4. Step 4: Simplify right side
    21,618.12x = 363,612,740.58
  5. Step 5: Solve for x
    x = 363,612,740.58/21,618.12
  6. Step 6: Final answer
    x = 16,819.81

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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.