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Finding the Fourth Proportional to 21,906.52, 30,242.37 and 13,420.96

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Solution

The fourth proportional to 21,906.52, 30,242.37 and 13,420.96 is: 18,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.52 : 30,242.37 = 13,420.96 : x
  2. Step 2: Convert to fraction form
    21,906.52/30,242.37 = 13,420.96/x
  3. Step 3: Cross multiply
    21,906.52x = 30,242.37 × 13,420.96
  4. Step 4: Simplify right side
    21,906.52x = 405,881,638.08
  5. Step 5: Solve for x
    x = 405,881,638.08/21,906.52
  6. Step 6: Final answer
    x = 18,527.89

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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.