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Finding the Fourth Proportional to 17,674.38, 24,378.38 and 12,005.96

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Solution

The fourth proportional to 17,674.38, 24,378.38 and 12,005.96 is: 16,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.38 : 24,378.38 = 12,005.96 : x
  2. Step 2: Convert to fraction form
    17,674.38/24,378.38 = 12,005.96/x
  3. Step 3: Cross multiply
    17,674.38x = 24,378.38 × 12,005.96
  4. Step 4: Simplify right side
    17,674.38x = 292,685,855.14
  5. Step 5: Solve for x
    x = 292,685,855.14/17,674.38
  6. Step 6: Final answer
    x = 16,559.89

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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.