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Finding the Fourth Proportional to 21,478.21, 29,640.10 and 11,918.14

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Solution

The fourth proportional to 21,478.21, 29,640.10 and 11,918.14 is: 16,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.21 : 29,640.10 = 11,918.14 : x
  2. Step 2: Convert to fraction form
    21,478.21/29,640.10 = 11,918.14/x
  3. Step 3: Cross multiply
    21,478.21x = 29,640.10 × 11,918.14
  4. Step 4: Simplify right side
    21,478.21x = 353,254,757.52
  5. Step 5: Solve for x
    x = 353,254,757.52/21,478.21
  6. Step 6: Final answer
    x = 16,447.12

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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.