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Finding the Fourth Proportional to 16,529.52, 24,797.02 and 8,209.82

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Solution

The fourth proportional to 16,529.52, 24,797.02 and 8,209.82 is: 12,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,529.52 : 24,797.02 = 8,209.82 : x
  2. Step 2: Convert to fraction form
    16,529.52/24,797.02 = 8,209.82/x
  3. Step 3: Cross multiply
    16,529.52x = 24,797.02 × 8,209.82
  4. Step 4: Simplify right side
    16,529.52x = 203,578,926.23
  5. Step 5: Solve for x
    x = 203,578,926.23/16,529.52
  6. Step 6: Final answer
    x = 12,316.08

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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.