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Finding the Fourth Proportional to 16,493, 24,740.94 and 4,181

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Solution

The fourth proportional to 16,493, 24,740.94 and 4,181 is: 6,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493 : 24,740.94 = 4,181 : x
  2. Step 2: Convert to fraction form
    16,493/24,740.94 = 4,181/x
  3. Step 3: Cross multiply
    16,493x = 24,740.94 × 4,181
  4. Step 4: Simplify right side
    16,493x = 103,441,870.14
  5. Step 5: Solve for x
    x = 103,441,870.14/16,493
  6. Step 6: Final answer
    x = 6,271.87

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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.