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Finding the Fourth Proportional to 12,241.42, 18,362.14 and 5,315.92

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Solution

The fourth proportional to 12,241.42, 18,362.14 and 5,315.92 is: 7,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.42 : 18,362.14 = 5,315.92 : x
  2. Step 2: Convert to fraction form
    12,241.42/18,362.14 = 5,315.92/x
  3. Step 3: Cross multiply
    12,241.42x = 18,362.14 × 5,315.92
  4. Step 4: Simplify right side
    12,241.42x = 97,611,608.07
  5. Step 5: Solve for x
    x = 97,611,608.07/12,241.42
  6. Step 6: Final answer
    x = 7,973.88

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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.