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Finding the Fourth Proportional to 16,299, 24,448.50 and 3,987

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Solution

The fourth proportional to 16,299, 24,448.50 and 3,987 is: 5,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299 : 24,448.50 = 3,987 : x
  2. Step 2: Convert to fraction form
    16,299/24,448.50 = 3,987/x
  3. Step 3: Cross multiply
    16,299x = 24,448.50 × 3,987
  4. Step 4: Simplify right side
    16,299x = 97,476,169.50
  5. Step 5: Solve for x
    x = 97,476,169.50/16,299
  6. Step 6: Final answer
    x = 5,980.50

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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.