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Finding the Fourth Proportional to 13,406.68, 18,524.24 and 12,933.64

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Solution

The fourth proportional to 13,406.68, 18,524.24 and 12,933.64 is: 17,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.68 : 18,524.24 = 12,933.64 : x
  2. Step 2: Convert to fraction form
    13,406.68/18,524.24 = 12,933.64/x
  3. Step 3: Cross multiply
    13,406.68x = 18,524.24 × 12,933.64
  4. Step 4: Simplify right side
    13,406.68x = 239,585,851.43
  5. Step 5: Solve for x
    x = 239,585,851.43/13,406.68
  6. Step 6: Final answer
    x = 17,870.63

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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.