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Finding the Fourth Proportional to 12,422.16, 17,142.12 and 8,891.28

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Solution

The fourth proportional to 12,422.16, 17,142.12 and 8,891.28 is: 12,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.16 : 17,142.12 = 8,891.28 : x
  2. Step 2: Convert to fraction form
    12,422.16/17,142.12 = 8,891.28/x
  3. Step 3: Cross multiply
    12,422.16x = 17,142.12 × 8,891.28
  4. Step 4: Simplify right side
    12,422.16x = 152,415,388.71
  5. Step 5: Solve for x
    x = 152,415,388.71/12,422.16
  6. Step 6: Final answer
    x = 12,269.64

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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.