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Finding the Fourth Proportional to 21,878.20, 30,189.16 and 12,446.92

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Solution

The fourth proportional to 21,878.20, 30,189.16 and 12,446.92 is: 17,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.20 : 30,189.16 = 12,446.92 : x
  2. Step 2: Convert to fraction form
    21,878.20/30,189.16 = 12,446.92/x
  3. Step 3: Cross multiply
    21,878.20x = 30,189.16 × 12,446.92
  4. Step 4: Simplify right side
    21,878.20x = 375,762,059.39
  5. Step 5: Solve for x
    x = 375,762,059.39/21,878.20
  6. Step 6: Final answer
    x = 17,175.18

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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.