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Finding the Fourth Proportional to 14,272.67, 21,414.07 and 6,374.46

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Solution

The fourth proportional to 14,272.67, 21,414.07 and 6,374.46 is: 9,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,272.67 : 21,414.07 = 6,374.46 : x
  2. Step 2: Convert to fraction form
    14,272.67/21,414.07 = 6,374.46/x
  3. Step 3: Cross multiply
    14,272.67x = 21,414.07 × 6,374.46
  4. Step 4: Simplify right side
    14,272.67x = 136,503,220.92
  5. Step 5: Solve for x
    x = 136,503,220.92/14,272.67
  6. Step 6: Final answer
    x = 9,563.96

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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.