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Finding the Fourth Proportional to 16,083.64, 24,106.02 and 8,288.20

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Solution

The fourth proportional to 16,083.64, 24,106.02 and 8,288.20 is: 12,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.64 : 24,106.02 = 8,288.20 : x
  2. Step 2: Convert to fraction form
    16,083.64/24,106.02 = 8,288.20/x
  3. Step 3: Cross multiply
    16,083.64x = 24,106.02 × 8,288.20
  4. Step 4: Simplify right side
    16,083.64x = 199,795,514.96
  5. Step 5: Solve for x
    x = 199,795,514.96/16,083.64
  6. Step 6: Final answer
    x = 12,422.28

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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.