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Finding the Fourth Proportional to 16,375.18, 24,555.74 and 8,050

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Solution

The fourth proportional to 16,375.18, 24,555.74 and 8,050 is: 12,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375.18 : 24,555.74 = 8,050 : x
  2. Step 2: Convert to fraction form
    16,375.18/24,555.74 = 8,050/x
  3. Step 3: Cross multiply
    16,375.18x = 24,555.74 × 8,050
  4. Step 4: Simplify right side
    16,375.18x = 197,673,707
  5. Step 5: Solve for x
    x = 197,673,707/16,375.18
  6. Step 6: Final answer
    x = 12,071.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.