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Finding the Fourth Proportional to 21,773.84, 32,656.64 and 8,446.80

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Solution

The fourth proportional to 21,773.84, 32,656.64 and 8,446.80 is: 12,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773.84 : 32,656.64 = 8,446.80 : x
  2. Step 2: Convert to fraction form
    21,773.84/32,656.64 = 8,446.80/x
  3. Step 3: Cross multiply
    21,773.84x = 32,656.64 × 8,446.80
  4. Step 4: Simplify right side
    21,773.84x = 275,844,127.87
  5. Step 5: Solve for x
    x = 275,844,127.87/21,773.84
  6. Step 6: Final answer
    x = 12,668.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.