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Finding the Fourth Proportional to 30,114.21, 41,555.94 and 16,684.64

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Solution

The fourth proportional to 30,114.21, 41,555.94 and 16,684.64 is: 23,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.21 : 41,555.94 = 16,684.64 : x
  2. Step 2: Convert to fraction form
    30,114.21/41,555.94 = 16,684.64/x
  3. Step 3: Cross multiply
    30,114.21x = 41,555.94 × 16,684.64
  4. Step 4: Simplify right side
    30,114.21x = 693,345,690.98
  5. Step 5: Solve for x
    x = 693,345,690.98/30,114.21
  6. Step 6: Final answer
    x = 23,023.87

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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.