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Finding the Fourth Proportional to 21,827.16, 30,121.32 and 12,874.68

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Solution

The fourth proportional to 21,827.16, 30,121.32 and 12,874.68 is: 17,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827.16 : 30,121.32 = 12,874.68 : x
  2. Step 2: Convert to fraction form
    21,827.16/30,121.32 = 12,874.68/x
  3. Step 3: Cross multiply
    21,827.16x = 30,121.32 × 12,874.68
  4. Step 4: Simplify right side
    21,827.16x = 387,802,356.18
  5. Step 5: Solve for x
    x = 387,802,356.18/21,827.16
  6. Step 6: Final answer
    x = 17,766.96

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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.