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Finding the Fourth Proportional to 16,134.40, 24,198.40 and 7,814.40

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Solution

The fourth proportional to 16,134.40, 24,198.40 and 7,814.40 is: 11,720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.40 : 24,198.40 = 7,814.40 : x
  2. Step 2: Convert to fraction form
    16,134.40/24,198.40 = 7,814.40/x
  3. Step 3: Cross multiply
    16,134.40x = 24,198.40 × 7,814.40
  4. Step 4: Simplify right side
    16,134.40x = 189,095,976.96
  5. Step 5: Solve for x
    x = 189,095,976.96/16,134.40
  6. Step 6: Final answer
    x = 11,720.05

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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.