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Finding the Fourth Proportional to 30,311.86, 41,830.32 and 16,884.30

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Solution

The fourth proportional to 30,311.86, 41,830.32 and 16,884.30 is: 23,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.86 : 41,830.32 = 16,884.30 : x
  2. Step 2: Convert to fraction form
    30,311.86/41,830.32 = 16,884.30/x
  3. Step 3: Cross multiply
    30,311.86x = 41,830.32 × 16,884.30
  4. Step 4: Simplify right side
    30,311.86x = 706,275,671.98
  5. Step 5: Solve for x
    x = 706,275,671.98/30,311.86
  6. Step 6: Final answer
    x = 23,300.31

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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.