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Finding the Fourth Proportional to 12,536.96, 18,808.68 and 6,692

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Solution

The fourth proportional to 12,536.96, 18,808.68 and 6,692 is: 10,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.96 : 18,808.68 = 6,692 : x
  2. Step 2: Convert to fraction form
    12,536.96/18,808.68 = 6,692/x
  3. Step 3: Cross multiply
    12,536.96x = 18,808.68 × 6,692
  4. Step 4: Simplify right side
    12,536.96x = 125,867,686.56
  5. Step 5: Solve for x
    x = 125,867,686.56/12,536.96
  6. Step 6: Final answer
    x = 10,039.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.