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Finding the Fourth Proportional to 21,669.14, 29,903.40 and 11,733.14

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Solution

The fourth proportional to 21,669.14, 29,903.40 and 11,733.14 is: 16,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,669.14 : 29,903.40 = 11,733.14 : x
  2. Step 2: Convert to fraction form
    21,669.14/29,903.40 = 11,733.14/x
  3. Step 3: Cross multiply
    21,669.14x = 29,903.40 × 11,733.14
  4. Step 4: Simplify right side
    21,669.14x = 350,860,778.68
  5. Step 5: Solve for x
    x = 350,860,778.68/21,669.14
  6. Step 6: Final answer
    x = 16,191.73

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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.