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Finding the Fourth Proportional to 13,660.76, 18,851.64 and 7,692.42

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Solution

The fourth proportional to 13,660.76, 18,851.64 and 7,692.42 is: 10,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.76 : 18,851.64 = 7,692.42 : x
  2. Step 2: Convert to fraction form
    13,660.76/18,851.64 = 7,692.42/x
  3. Step 3: Cross multiply
    13,660.76x = 18,851.64 × 7,692.42
  4. Step 4: Simplify right side
    13,660.76x = 145,014,732.57
  5. Step 5: Solve for x
    x = 145,014,732.57/13,660.76
  6. Step 6: Final answer
    x = 10,615.42

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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.