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Finding the Fourth Proportional to 16,533.26, 24,800.02 and 6,145

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Solution

The fourth proportional to 16,533.26, 24,800.02 and 6,145 is: 9,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.26 : 24,800.02 = 6,145 : x
  2. Step 2: Convert to fraction form
    16,533.26/24,800.02 = 6,145/x
  3. Step 3: Cross multiply
    16,533.26x = 24,800.02 × 6,145
  4. Step 4: Simplify right side
    16,533.26x = 152,396,122.90
  5. Step 5: Solve for x
    x = 152,396,122.90/16,533.26
  6. Step 6: Final answer
    x = 9,217.55

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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.