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Finding the Fourth Proportional to 29,829.97, 41,165.47 and 16,402.07

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Solution

The fourth proportional to 29,829.97, 41,165.47 and 16,402.07 is: 22,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829.97 : 41,165.47 = 16,402.07 : x
  2. Step 2: Convert to fraction form
    29,829.97/41,165.47 = 16,402.07/x
  3. Step 3: Cross multiply
    29,829.97x = 41,165.47 × 16,402.07
  4. Step 4: Simplify right side
    29,829.97x = 675,198,835.90
  5. Step 5: Solve for x
    x = 675,198,835.90/29,829.97
  6. Step 6: Final answer
    x = 22,634.91

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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.