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Finding the Fourth Proportional to 21,857.43, 30,162.91 and 12,296.59

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Solution

The fourth proportional to 21,857.43, 30,162.91 and 12,296.59 is: 16,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.43 : 30,162.91 = 12,296.59 : x
  2. Step 2: Convert to fraction form
    21,857.43/30,162.91 = 12,296.59/x
  3. Step 3: Cross multiply
    21,857.43x = 30,162.91 × 12,296.59
  4. Step 4: Simplify right side
    21,857.43x = 370,900,937.48
  5. Step 5: Solve for x
    x = 370,900,937.48/21,857.43
  6. Step 6: Final answer
    x = 16,969.10

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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.