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Finding the Fourth Proportional to 30,285.29, 41,789.74 and 16,857.11

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Solution

The fourth proportional to 30,285.29, 41,789.74 and 16,857.11 is: 23,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.29 : 41,789.74 = 16,857.11 : x
  2. Step 2: Convert to fraction form
    30,285.29/41,789.74 = 16,857.11/x
  3. Step 3: Cross multiply
    30,285.29x = 41,789.74 × 16,857.11
  4. Step 4: Simplify right side
    30,285.29x = 704,453,992.96
  5. Step 5: Solve for x
    x = 704,453,992.96/30,285.29
  6. Step 6: Final answer
    x = 23,260.60

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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.