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Finding the Fourth Proportional to 14,644.96, 20,206.88 and 8,678.48

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Solution

The fourth proportional to 14,644.96, 20,206.88 and 8,678.48 is: 11,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.96 : 20,206.88 = 8,678.48 : x
  2. Step 2: Convert to fraction form
    14,644.96/20,206.88 = 8,678.48/x
  3. Step 3: Cross multiply
    14,644.96x = 20,206.88 × 8,678.48
  4. Step 4: Simplify right side
    14,644.96x = 175,365,003.94
  5. Step 5: Solve for x
    x = 175,365,003.94/14,644.96
  6. Step 6: Final answer
    x = 11,974.43

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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.