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Finding the Fourth Proportional to 16,205.64, 24,299.82 and 8,395.08

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Solution

The fourth proportional to 16,205.64, 24,299.82 and 8,395.08 is: 12,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.64 : 24,299.82 = 8,395.08 : x
  2. Step 2: Convert to fraction form
    16,205.64/24,299.82 = 8,395.08/x
  3. Step 3: Cross multiply
    16,205.64x = 24,299.82 × 8,395.08
  4. Step 4: Simplify right side
    16,205.64x = 203,998,932.89
  5. Step 5: Solve for x
    x = 203,998,932.89/16,205.64
  6. Step 6: Final answer
    x = 12,588.14

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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.