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Finding the Fourth Proportional to 21,850.72, 30,154 and 12,419.04

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Solution

The fourth proportional to 21,850.72, 30,154 and 12,419.04 is: 17,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,850.72 : 30,154 = 12,419.04 : x
  2. Step 2: Convert to fraction form
    21,850.72/30,154 = 12,419.04/x
  3. Step 3: Cross multiply
    21,850.72x = 30,154 × 12,419.04
  4. Step 4: Simplify right side
    21,850.72x = 374,483,732.16
  5. Step 5: Solve for x
    x = 374,483,732.16/21,850.72
  6. Step 6: Final answer
    x = 17,138.28

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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.