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Finding the Fourth Proportional to 14,451.79, 21,680.61 and 8,214.79

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Solution

The fourth proportional to 14,451.79, 21,680.61 and 8,214.79 is: 12,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.79 : 21,680.61 = 8,214.79 : x
  2. Step 2: Convert to fraction form
    14,451.79/21,680.61 = 8,214.79/x
  3. Step 3: Cross multiply
    14,451.79x = 21,680.61 × 8,214.79
  4. Step 4: Simplify right side
    14,451.79x = 178,101,658.22
  5. Step 5: Solve for x
    x = 178,101,658.22/14,451.79
  6. Step 6: Final answer
    x = 12,323.85

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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.