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Finding the Fourth Proportional to 12,419.59, 18,625.43 and 4,098.05

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Solution

The fourth proportional to 12,419.59, 18,625.43 and 4,098.05 is: 6,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.59 : 18,625.43 = 4,098.05 : x
  2. Step 2: Convert to fraction form
    12,419.59/18,625.43 = 4,098.05/x
  3. Step 3: Cross multiply
    12,419.59x = 18,625.43 × 4,098.05
  4. Step 4: Simplify right side
    12,419.59x = 76,328,035.14
  5. Step 5: Solve for x
    x = 76,328,035.14/12,419.59
  6. Step 6: Final answer
    x = 6,145.78

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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.