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Finding the Fourth Proportional to 12,422.64, 17,142.48 and 7,116.24

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Solution

The fourth proportional to 12,422.64, 17,142.48 and 7,116.24 is: 9,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.64 : 17,142.48 = 7,116.24 : x
  2. Step 2: Convert to fraction form
    12,422.64/17,142.48 = 7,116.24/x
  3. Step 3: Cross multiply
    12,422.64x = 17,142.48 × 7,116.24
  4. Step 4: Simplify right side
    12,422.64x = 121,990,001.88
  5. Step 5: Solve for x
    x = 121,990,001.88/12,422.64
  6. Step 6: Final answer
    x = 9,819.97

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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.