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Finding the Fourth Proportional to 21,512.33, 29,689.89 and 13,021.31

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Solution

The fourth proportional to 21,512.33, 29,689.89 and 13,021.31 is: 17,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.33 : 29,689.89 = 13,021.31 : x
  2. Step 2: Convert to fraction form
    21,512.33/29,689.89 = 13,021.31/x
  3. Step 3: Cross multiply
    21,512.33x = 29,689.89 × 13,021.31
  4. Step 4: Simplify right side
    21,512.33x = 386,601,193.19
  5. Step 5: Solve for x
    x = 386,601,193.19/21,512.33
  6. Step 6: Final answer
    x = 17,971.14

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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.