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Finding the Fourth Proportional to 29,850.57, 41,193.16 and 16,421.58

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Solution

The fourth proportional to 29,850.57, 41,193.16 and 16,421.58 is: 22,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,850.57 : 41,193.16 = 16,421.58 : x
  2. Step 2: Convert to fraction form
    29,850.57/41,193.16 = 16,421.58/x
  3. Step 3: Cross multiply
    29,850.57x = 41,193.16 × 16,421.58
  4. Step 4: Simplify right side
    29,850.57x = 676,456,731.34
  5. Step 5: Solve for x
    x = 676,456,731.34/29,850.57
  6. Step 6: Final answer
    x = 22,661.43

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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.