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Finding the Fourth Proportional to 12,770.49, 17,621.75 and 7,103.81

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Solution

The fourth proportional to 12,770.49, 17,621.75 and 7,103.81 is: 9,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.49 : 17,621.75 = 7,103.81 : x
  2. Step 2: Convert to fraction form
    12,770.49/17,621.75 = 7,103.81/x
  3. Step 3: Cross multiply
    12,770.49x = 17,621.75 × 7,103.81
  4. Step 4: Simplify right side
    12,770.49x = 125,181,546.11
  5. Step 5: Solve for x
    x = 125,181,546.11/12,770.49
  6. Step 6: Final answer
    x = 9,802.41

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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.