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Finding the Fourth Proportional to 12,769, 17,621.82 and 7,103.78

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Solution

The fourth proportional to 12,769, 17,621.82 and 7,103.78 is: 9,803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769 : 17,621.82 = 7,103.78 : x
  2. Step 2: Convert to fraction form
    12,769/17,621.82 = 7,103.78/x
  3. Step 3: Cross multiply
    12,769x = 17,621.82 × 7,103.78
  4. Step 4: Simplify right side
    12,769x = 125,181,532.48
  5. Step 5: Solve for x
    x = 125,181,532.48/12,769
  6. Step 6: Final answer
    x = 9,803.55

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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.