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Finding the Fourth Proportional to 11,300.20, 16,950.30 and 8,384.20

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Solution

The fourth proportional to 11,300.20, 16,950.30 and 8,384.20 is: 12,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.20 : 16,950.30 = 8,384.20 : x
  2. Step 2: Convert to fraction form
    11,300.20/16,950.30 = 8,384.20/x
  3. Step 3: Cross multiply
    11,300.20x = 16,950.30 × 8,384.20
  4. Step 4: Simplify right side
    11,300.20x = 142,114,705.26
  5. Step 5: Solve for x
    x = 142,114,705.26/11,300.20
  6. Step 6: Final answer
    x = 12,576.30

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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.