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Finding the Fourth Proportional to 13,274.24, 18,315.51 and 7,682

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Solution

The fourth proportional to 13,274.24, 18,315.51 and 7,682 is: 10,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.24 : 18,315.51 = 7,682 : x
  2. Step 2: Convert to fraction form
    13,274.24/18,315.51 = 7,682/x
  3. Step 3: Cross multiply
    13,274.24x = 18,315.51 × 7,682
  4. Step 4: Simplify right side
    13,274.24x = 140,699,747.82
  5. Step 5: Solve for x
    x = 140,699,747.82/13,274.24
  6. Step 6: Final answer
    x = 10,599.46

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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.