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Finding the Fourth Proportional to 12,796.40, 17,660.34 and 7,132.08

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Solution

The fourth proportional to 12,796.40, 17,660.34 and 7,132.08 is: 9,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.40 : 17,660.34 = 7,132.08 : x
  2. Step 2: Convert to fraction form
    12,796.40/17,660.34 = 7,132.08/x
  3. Step 3: Cross multiply
    12,796.40x = 17,660.34 × 7,132.08
  4. Step 4: Simplify right side
    12,796.40x = 125,954,957.71
  5. Step 5: Solve for x
    x = 125,954,957.71/12,796.40
  6. Step 6: Final answer
    x = 9,843.00

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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.