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Finding the Fourth Proportional to 12,408.31, 18,614.29 and 3,642.07

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Solution

The fourth proportional to 12,408.31, 18,614.29 and 3,642.07 is: 5,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.31 : 18,614.29 = 3,642.07 : x
  2. Step 2: Convert to fraction form
    12,408.31/18,614.29 = 3,642.07/x
  3. Step 3: Cross multiply
    12,408.31x = 18,614.29 × 3,642.07
  4. Step 4: Simplify right side
    12,408.31x = 67,794,547.18
  5. Step 5: Solve for x
    x = 67,794,547.18/12,408.31
  6. Step 6: Final answer
    x = 5,463.64

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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.