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Finding the Fourth Proportional to 21,894.56, 30,214.20 and 12,463.28

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Solution

The fourth proportional to 21,894.56, 30,214.20 and 12,463.28 is: 17,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.56 : 30,214.20 = 12,463.28 : x
  2. Step 2: Convert to fraction form
    21,894.56/30,214.20 = 12,463.28/x
  3. Step 3: Cross multiply
    21,894.56x = 30,214.20 × 12,463.28
  4. Step 4: Simplify right side
    21,894.56x = 376,568,034.58
  5. Step 5: Solve for x
    x = 376,568,034.58/21,894.56
  6. Step 6: Final answer
    x = 17,199.16

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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.