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Finding the Fourth Proportional to 21,402.40, 29,539.92 and 13,021.60

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Solution

The fourth proportional to 21,402.40, 29,539.92 and 13,021.60 is: 17,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.40 : 29,539.92 = 13,021.60 : x
  2. Step 2: Convert to fraction form
    21,402.40/29,539.92 = 13,021.60/x
  3. Step 3: Cross multiply
    21,402.40x = 29,539.92 × 13,021.60
  4. Step 4: Simplify right side
    21,402.40x = 384,657,022.27
  5. Step 5: Solve for x
    x = 384,657,022.27/21,402.40
  6. Step 6: Final answer
    x = 17,972.61

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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.