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Finding the Fourth Proportional to 16,614.54, 24,902.68 and 6,743.02

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Solution

The fourth proportional to 16,614.54, 24,902.68 and 6,743.02 is: 10,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,614.54 : 24,902.68 = 6,743.02 : x
  2. Step 2: Convert to fraction form
    16,614.54/24,902.68 = 6,743.02/x
  3. Step 3: Cross multiply
    16,614.54x = 24,902.68 × 6,743.02
  4. Step 4: Simplify right side
    16,614.54x = 167,919,269.29
  5. Step 5: Solve for x
    x = 167,919,269.29/16,614.54
  6. Step 6: Final answer
    x = 10,106.77

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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.