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Finding the Fourth Proportional to 17,922.91, 24,729.78 and 12,182.35

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Solution

The fourth proportional to 17,922.91, 24,729.78 and 12,182.35 is: 16,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.91 : 24,729.78 = 12,182.35 : x
  2. Step 2: Convert to fraction form
    17,922.91/24,729.78 = 12,182.35/x
  3. Step 3: Cross multiply
    17,922.91x = 24,729.78 × 12,182.35
  4. Step 4: Simplify right side
    17,922.91x = 301,266,835.38
  5. Step 5: Solve for x
    x = 301,266,835.38/17,922.91
  6. Step 6: Final answer
    x = 16,809.04

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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.