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Finding the Fourth Proportional to 10,914.20, 16,371.30 and 9,820.70

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Solution

The fourth proportional to 10,914.20, 16,371.30 and 9,820.70 is: 14,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.20 : 16,371.30 = 9,820.70 : x
  2. Step 2: Convert to fraction form
    10,914.20/16,371.30 = 9,820.70/x
  3. Step 3: Cross multiply
    10,914.20x = 16,371.30 × 9,820.70
  4. Step 4: Simplify right side
    10,914.20x = 160,777,625.91
  5. Step 5: Solve for x
    x = 160,777,625.91/10,914.20
  6. Step 6: Final answer
    x = 14,731.05

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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.