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Finding the Fourth Proportional to 12,797.61, 17,660.43 and 7,132.33

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Solution

The fourth proportional to 12,797.61, 17,660.43 and 7,132.33 is: 9,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.61 : 17,660.43 = 7,132.33 : x
  2. Step 2: Convert to fraction form
    12,797.61/17,660.43 = 7,132.33/x
  3. Step 3: Cross multiply
    12,797.61x = 17,660.43 × 7,132.33
  4. Step 4: Simplify right side
    12,797.61x = 125,960,036.78
  5. Step 5: Solve for x
    x = 125,960,036.78/12,797.61
  6. Step 6: Final answer
    x = 9,842.47

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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.