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Finding the Fourth Proportional to 22,467.68, 31,008.16 and 13,519.84

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Solution

The fourth proportional to 22,467.68, 31,008.16 and 13,519.84 is: 18,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467.68 : 31,008.16 = 13,519.84 : x
  2. Step 2: Convert to fraction form
    22,467.68/31,008.16 = 13,519.84/x
  3. Step 3: Cross multiply
    22,467.68x = 31,008.16 × 13,519.84
  4. Step 4: Simplify right side
    22,467.68x = 419,225,361.89
  5. Step 5: Solve for x
    x = 419,225,361.89/22,467.68
  6. Step 6: Final answer
    x = 18,659.04

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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.