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Finding the Fourth Proportional to 14,451.88, 21,680.84 and 8,214.76

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Solution

The fourth proportional to 14,451.88, 21,680.84 and 8,214.76 is: 12,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.88 : 21,680.84 = 8,214.76 : x
  2. Step 2: Convert to fraction form
    14,451.88/21,680.84 = 8,214.76/x
  3. Step 3: Cross multiply
    14,451.88x = 21,680.84 × 8,214.76
  4. Step 4: Simplify right side
    14,451.88x = 178,102,897.20
  5. Step 5: Solve for x
    x = 178,102,897.20/14,451.88
  6. Step 6: Final answer
    x = 12,323.86

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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.