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Finding the Fourth Proportional to 16,384.80, 22,609.96 and 9,672.48

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Solution

The fourth proportional to 16,384.80, 22,609.96 and 9,672.48 is: 13,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.80 : 22,609.96 = 9,672.48 : x
  2. Step 2: Convert to fraction form
    16,384.80/22,609.96 = 9,672.48/x
  3. Step 3: Cross multiply
    16,384.80x = 22,609.96 × 9,672.48
  4. Step 4: Simplify right side
    16,384.80x = 218,694,385.90
  5. Step 5: Solve for x
    x = 218,694,385.90/16,384.80
  6. Step 6: Final answer
    x = 13,347.39

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1.5x scale

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.