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Finding the Fourth Proportional to 30,251.29, 41,741.87 and 16,822.20

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Solution

The fourth proportional to 30,251.29, 41,741.87 and 16,822.20 is: 23,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,251.29 : 41,741.87 = 16,822.20 : x
  2. Step 2: Convert to fraction form
    30,251.29/41,741.87 = 16,822.20/x
  3. Step 3: Cross multiply
    30,251.29x = 41,741.87 × 16,822.20
  4. Step 4: Simplify right side
    30,251.29x = 702,190,001.40
  5. Step 5: Solve for x
    x = 702,190,001.40/30,251.29
  6. Step 6: Final answer
    x = 23,211.90

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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.