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Finding the Fourth Proportional to 21,874.48, 30,186.90 and 12,443.20

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Solution

The fourth proportional to 21,874.48, 30,186.90 and 12,443.20 is: 17,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.48 : 30,186.90 = 12,443.20 : x
  2. Step 2: Convert to fraction form
    21,874.48/30,186.90 = 12,443.20/x
  3. Step 3: Cross multiply
    21,874.48x = 30,186.90 × 12,443.20
  4. Step 4: Simplify right side
    21,874.48x = 375,621,634.08
  5. Step 5: Solve for x
    x = 375,621,634.08/21,874.48
  6. Step 6: Final answer
    x = 17,171.68

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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.