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Finding the Fourth Proportional to 16,896, 23,317.20 and 9,444

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Solution

The fourth proportional to 16,896, 23,317.20 and 9,444 is: 13,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,896 : 23,317.20 = 9,444 : x
  2. Step 2: Convert to fraction form
    16,896/23,317.20 = 9,444/x
  3. Step 3: Cross multiply
    16,896x = 23,317.20 × 9,444
  4. Step 4: Simplify right side
    16,896x = 220,207,636.80
  5. Step 5: Solve for x
    x = 220,207,636.80/16,896
  6. Step 6: Final answer
    x = 13,033.12

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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.