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Finding the Fourth Proportional to 12,433.95, 18,649.03 and 4,114.30

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Solution

The fourth proportional to 12,433.95, 18,649.03 and 4,114.30 is: 6,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.95 : 18,649.03 = 4,114.30 : x
  2. Step 2: Convert to fraction form
    12,433.95/18,649.03 = 4,114.30/x
  3. Step 3: Cross multiply
    12,433.95x = 18,649.03 × 4,114.30
  4. Step 4: Simplify right side
    12,433.95x = 76,727,704.13
  5. Step 5: Solve for x
    x = 76,727,704.13/12,433.95
  6. Step 6: Final answer
    x = 6,170.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.