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Finding the Fourth Proportional to 21,197.84, 31,770.68 and 12,438.80

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Solution

The fourth proportional to 21,197.84, 31,770.68 and 12,438.80 is: 18,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.84 : 31,770.68 = 12,438.80 : x
  2. Step 2: Convert to fraction form
    21,197.84/31,770.68 = 12,438.80/x
  3. Step 3: Cross multiply
    21,197.84x = 31,770.68 × 12,438.80
  4. Step 4: Simplify right side
    21,197.84x = 395,189,134.38
  5. Step 5: Solve for x
    x = 395,189,134.38/21,197.84
  6. Step 6: Final answer
    x = 18,642.90

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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.