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Finding the Fourth Proportional to 12,784.97, 17,643.06 and 7,120.19

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Solution

The fourth proportional to 12,784.97, 17,643.06 and 7,120.19 is: 9,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.97 : 17,643.06 = 7,120.19 : x
  2. Step 2: Convert to fraction form
    12,784.97/17,643.06 = 7,120.19/x
  3. Step 3: Cross multiply
    12,784.97x = 17,643.06 × 7,120.19
  4. Step 4: Simplify right side
    12,784.97x = 125,621,851.17
  5. Step 5: Solve for x
    x = 125,621,851.17/12,784.97
  6. Step 6: Final answer
    x = 9,825.75

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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.