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Finding the Fourth Proportional to 16,843.68, 25,271.55 and 7,222.50

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Solution

The fourth proportional to 16,843.68, 25,271.55 and 7,222.50 is: 10,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.68 : 25,271.55 = 7,222.50 : x
  2. Step 2: Convert to fraction form
    16,843.68/25,271.55 = 7,222.50/x
  3. Step 3: Cross multiply
    16,843.68x = 25,271.55 × 7,222.50
  4. Step 4: Simplify right side
    16,843.68x = 182,523,769.88
  5. Step 5: Solve for x
    x = 182,523,769.88/16,843.68
  6. Step 6: Final answer
    x = 10,836.34

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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.