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Finding the Fourth Proportional to 16,385, 24,577.50 and 5,441

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Solution

The fourth proportional to 16,385, 24,577.50 and 5,441 is: 8,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385 : 24,577.50 = 5,441 : x
  2. Step 2: Convert to fraction form
    16,385/24,577.50 = 5,441/x
  3. Step 3: Cross multiply
    16,385x = 24,577.50 × 5,441
  4. Step 4: Simplify right side
    16,385x = 133,726,177.50
  5. Step 5: Solve for x
    x = 133,726,177.50/16,385
  6. Step 6: Final answer
    x = 8,161.50

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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.