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Finding the Fourth Proportional to 12,873.69, 17,765.56 and 7,208.49

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Solution

The fourth proportional to 12,873.69, 17,765.56 and 7,208.49 is: 9,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.69 : 17,765.56 = 7,208.49 : x
  2. Step 2: Convert to fraction form
    12,873.69/17,765.56 = 7,208.49/x
  3. Step 3: Cross multiply
    12,873.69x = 17,765.56 × 7,208.49
  4. Step 4: Simplify right side
    12,873.69x = 128,062,825.56
  5. Step 5: Solve for x
    x = 128,062,825.56/12,873.69
  6. Step 6: Final answer
    x = 9,947.64

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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.