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Finding the Fourth Proportional to 16,193.16, 24,290.01 and 11,819.16

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Solution

The fourth proportional to 16,193.16, 24,290.01 and 11,819.16 is: 17,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.16 : 24,290.01 = 11,819.16 : x
  2. Step 2: Convert to fraction form
    16,193.16/24,290.01 = 11,819.16/x
  3. Step 3: Cross multiply
    16,193.16x = 24,290.01 × 11,819.16
  4. Step 4: Simplify right side
    16,193.16x = 287,087,514.59
  5. Step 5: Solve for x
    x = 287,087,514.59/16,193.16
  6. Step 6: Final answer
    x = 17,728.94

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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.