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Finding the Fourth Proportional to 12,784.97, 17,643.21 and 7,119.79

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Solution

The fourth proportional to 12,784.97, 17,643.21 and 7,119.79 is: 9,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.97 : 17,643.21 = 7,119.79 : x
  2. Step 2: Convert to fraction form
    12,784.97/17,643.21 = 7,119.79/x
  3. Step 3: Cross multiply
    12,784.97x = 17,643.21 × 7,119.79
  4. Step 4: Simplify right side
    12,784.97x = 125,615,879.32
  5. Step 5: Solve for x
    x = 125,615,879.32/12,784.97
  6. Step 6: Final answer
    x = 9,825.28

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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.