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Finding the Fourth Proportional to 21,874.42, 30,186.43 and 12,442.96

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Solution

The fourth proportional to 21,874.42, 30,186.43 and 12,442.96 is: 17,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.42 : 30,186.43 = 12,442.96 : x
  2. Step 2: Convert to fraction form
    21,874.42/30,186.43 = 12,442.96/x
  3. Step 3: Cross multiply
    21,874.42x = 30,186.43 × 12,442.96
  4. Step 4: Simplify right side
    21,874.42x = 375,608,541.03
  5. Step 5: Solve for x
    x = 375,608,541.03/21,874.42
  6. Step 6: Final answer
    x = 17,171.13

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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.