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Finding the Fourth Proportional to 13,029.12, 17,982 and 9,682.20

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Solution

The fourth proportional to 13,029.12, 17,982 and 9,682.20 is: 13,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.12 : 17,982 = 9,682.20 : x
  2. Step 2: Convert to fraction form
    13,029.12/17,982 = 9,682.20/x
  3. Step 3: Cross multiply
    13,029.12x = 17,982 × 9,682.20
  4. Step 4: Simplify right side
    13,029.12x = 174,105,320.40
  5. Step 5: Solve for x
    x = 174,105,320.40/13,029.12
  6. Step 6: Final answer
    x = 13,362.78

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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.