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Finding the Fourth Proportional to 16,033, 24,049.86 and 5,503

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Solution

The fourth proportional to 16,033, 24,049.86 and 5,503 is: 8,254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033 : 24,049.86 = 5,503 : x
  2. Step 2: Convert to fraction form
    16,033/24,049.86 = 5,503/x
  3. Step 3: Cross multiply
    16,033x = 24,049.86 × 5,503
  4. Step 4: Simplify right side
    16,033x = 132,346,379.58
  5. Step 5: Solve for x
    x = 132,346,379.58/16,033
  6. Step 6: Final answer
    x = 8,254.62

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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.