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Finding the Fourth Proportional to 16,543.67, 24,795 and 7,760.13

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Solution

The fourth proportional to 16,543.67, 24,795 and 7,760.13 is: 11,630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.67 : 24,795 = 7,760.13 : x
  2. Step 2: Convert to fraction form
    16,543.67/24,795 = 7,760.13/x
  3. Step 3: Cross multiply
    16,543.67x = 24,795 × 7,760.13
  4. Step 4: Simplify right side
    16,543.67x = 192,412,423.35
  5. Step 5: Solve for x
    x = 192,412,423.35/16,543.67
  6. Step 6: Final answer
    x = 11,630.58

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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.