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Finding the Fourth Proportional to 21,182, 29,231.88 and 13,742.96

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Solution

The fourth proportional to 21,182, 29,231.88 and 13,742.96 is: 18,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182 : 29,231.88 = 13,742.96 : x
  2. Step 2: Convert to fraction form
    21,182/29,231.88 = 13,742.96/x
  3. Step 3: Cross multiply
    21,182x = 29,231.88 × 13,742.96
  4. Step 4: Simplify right side
    21,182x = 401,732,557.56
  5. Step 5: Solve for x
    x = 401,732,557.56/21,182
  6. Step 6: Final answer
    x = 18,965.75

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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.