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Finding the Fourth Proportional to 30,114.41, 41,560.23 and 16,686.90

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Solution

The fourth proportional to 30,114.41, 41,560.23 and 16,686.90 is: 23,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.41 : 41,560.23 = 16,686.90 : x
  2. Step 2: Convert to fraction form
    30,114.41/41,560.23 = 16,686.90/x
  3. Step 3: Cross multiply
    30,114.41x = 41,560.23 × 16,686.90
  4. Step 4: Simplify right side
    30,114.41x = 693,511,401.99
  5. Step 5: Solve for x
    x = 693,511,401.99/30,114.41
  6. Step 6: Final answer
    x = 23,029.22

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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.