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Finding the Fourth Proportional to 12,797.47, 17,660.53 and 7,132.09

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Solution

The fourth proportional to 12,797.47, 17,660.53 and 7,132.09 is: 9,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.47 : 17,660.53 = 7,132.09 : x
  2. Step 2: Convert to fraction form
    12,797.47/17,660.53 = 7,132.09/x
  3. Step 3: Cross multiply
    12,797.47x = 17,660.53 × 7,132.09
  4. Step 4: Simplify right side
    12,797.47x = 125,956,489.41
  5. Step 5: Solve for x
    x = 125,956,489.41/12,797.47
  6. Step 6: Final answer
    x = 9,842.30

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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.