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Finding the Fourth Proportional to 16,909.44, 23,333.76 and 9,456

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Solution

The fourth proportional to 16,909.44, 23,333.76 and 9,456 is: 13,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,909.44 : 23,333.76 = 9,456 : x
  2. Step 2: Convert to fraction form
    16,909.44/23,333.76 = 9,456/x
  3. Step 3: Cross multiply
    16,909.44x = 23,333.76 × 9,456
  4. Step 4: Simplify right side
    16,909.44x = 220,644,034.56
  5. Step 5: Solve for x
    x = 220,644,034.56/16,909.44
  6. Step 6: Final answer
    x = 13,048.57

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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.