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Finding the Fourth Proportional to 16,540.61, 24,790.05 and 6,674.40

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Solution

The fourth proportional to 16,540.61, 24,790.05 and 6,674.40 is: 10,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.61 : 24,790.05 = 6,674.40 : x
  2. Step 2: Convert to fraction form
    16,540.61/24,790.05 = 6,674.40/x
  3. Step 3: Cross multiply
    16,540.61x = 24,790.05 × 6,674.40
  4. Step 4: Simplify right side
    16,540.61x = 165,458,709.72
  5. Step 5: Solve for x
    x = 165,458,709.72/16,540.61
  6. Step 6: Final answer
    x = 10,003.18

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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.