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Finding the Fourth Proportional to 12,214.84, 18,323 and 3,450.41

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Solution

The fourth proportional to 12,214.84, 18,323 and 3,450.41 is: 5,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.84 : 18,323 = 3,450.41 : x
  2. Step 2: Convert to fraction form
    12,214.84/18,323 = 3,450.41/x
  3. Step 3: Cross multiply
    12,214.84x = 18,323 × 3,450.41
  4. Step 4: Simplify right side
    12,214.84x = 63,221,862.43
  5. Step 5: Solve for x
    x = 63,221,862.43/12,214.84
  6. Step 6: Final answer
    x = 5,175.82

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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.