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Finding the Fourth Proportional to 16,299, 22,495.50 and 9,675

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Solution

The fourth proportional to 16,299, 22,495.50 and 9,675 is: 13,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299 : 22,495.50 = 9,675 : x
  2. Step 2: Convert to fraction form
    16,299/22,495.50 = 9,675/x
  3. Step 3: Cross multiply
    16,299x = 22,495.50 × 9,675
  4. Step 4: Simplify right side
    16,299x = 217,643,962.50
  5. Step 5: Solve for x
    x = 217,643,962.50/16,299
  6. Step 6: Final answer
    x = 13,353.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.