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Finding the Fourth Proportional to 16,130.20, 24,199.42 and 7,814.20

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Solution

The fourth proportional to 16,130.20, 24,199.42 and 7,814.20 is: 11,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,130.20 : 24,199.42 = 7,814.20 : x
  2. Step 2: Convert to fraction form
    16,130.20/24,199.42 = 7,814.20/x
  3. Step 3: Cross multiply
    16,130.20x = 24,199.42 × 7,814.20
  4. Step 4: Simplify right side
    16,130.20x = 189,099,107.76
  5. Step 5: Solve for x
    x = 189,099,107.76/16,130.20
  6. Step 6: Final answer
    x = 11,723.30

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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.