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Finding the Fourth Proportional to 16,411, 24,604.50 and 6,022.84

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Solution

The fourth proportional to 16,411, 24,604.50 and 6,022.84 is: 9,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411 : 24,604.50 = 6,022.84 : x
  2. Step 2: Convert to fraction form
    16,411/24,604.50 = 6,022.84/x
  3. Step 3: Cross multiply
    16,411x = 24,604.50 × 6,022.84
  4. Step 4: Simplify right side
    16,411x = 148,188,966.78
  5. Step 5: Solve for x
    x = 148,188,966.78/16,411
  6. Step 6: Final answer
    x = 9,029.86

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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.