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Finding the Fourth Proportional to 19,885.19, 29,827.79 and 8,198.11

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Solution

The fourth proportional to 19,885.19, 29,827.79 and 8,198.11 is: 12,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885.19 : 29,827.79 = 8,198.11 : x
  2. Step 2: Convert to fraction form
    19,885.19/29,827.79 = 8,198.11/x
  3. Step 3: Cross multiply
    19,885.19x = 29,827.79 × 8,198.11
  4. Step 4: Simplify right side
    19,885.19x = 244,531,313.35
  5. Step 5: Solve for x
    x = 244,531,313.35/19,885.19
  6. Step 6: Final answer
    x = 12,297.16

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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.