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Finding the Fourth Proportional to 30,074, 41,504.08 and 16,826

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Solution

The fourth proportional to 30,074, 41,504.08 and 16,826 is: 23,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074 : 41,504.08 = 16,826 : x
  2. Step 2: Convert to fraction form
    30,074/41,504.08 = 16,826/x
  3. Step 3: Cross multiply
    30,074x = 41,504.08 × 16,826
  4. Step 4: Simplify right side
    30,074x = 698,347,650.08
  5. Step 5: Solve for x
    x = 698,347,650.08/30,074
  6. Step 6: Final answer
    x = 23,220.98

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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.