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Finding the Fourth Proportional to 16,200, 24,300 and 4,513.52

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Solution

The fourth proportional to 16,200, 24,300 and 4,513.52 is: 6,770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200 : 24,300 = 4,513.52 : x
  2. Step 2: Convert to fraction form
    16,200/24,300 = 4,513.52/x
  3. Step 3: Cross multiply
    16,200x = 24,300 × 4,513.52
  4. Step 4: Simplify right side
    16,200x = 109,678,596.75
  5. Step 5: Solve for x
    x = 109,678,596.75/16,200
  6. Step 6: Final answer
    x = 6,770.28

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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.