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Finding the Fourth Proportional to 12,796.76, 17,670.44 and 8,024.74

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Solution

The fourth proportional to 12,796.76, 17,670.44 and 8,024.74 is: 11,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.76 : 17,670.44 = 8,024.74 : x
  2. Step 2: Convert to fraction form
    12,796.76/17,670.44 = 8,024.74/x
  3. Step 3: Cross multiply
    12,796.76x = 17,670.44 × 8,024.74
  4. Step 4: Simplify right side
    12,796.76x = 141,800,662.57
  5. Step 5: Solve for x
    x = 141,800,662.57/12,796.76
  6. Step 6: Final answer
    x = 11,080.98

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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.