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Finding the Fourth Proportional to 30,418.55, 41,977.15 and 16,990

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Solution

The fourth proportional to 30,418.55, 41,977.15 and 16,990 is: 23,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,418.55 : 41,977.15 = 16,990 : x
  2. Step 2: Convert to fraction form
    30,418.55/41,977.15 = 16,990/x
  3. Step 3: Cross multiply
    30,418.55x = 41,977.15 × 16,990
  4. Step 4: Simplify right side
    30,418.55x = 713,191,778.50
  5. Step 5: Solve for x
    x = 713,191,778.50/30,418.55
  6. Step 6: Final answer
    x = 23,445.95

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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.