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Finding the Fourth Proportional to 16,247.14, 24,380.43 and 7,013.14

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Solution

The fourth proportional to 16,247.14, 24,380.43 and 7,013.14 is: 10,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,247.14 : 24,380.43 = 7,013.14 : x
  2. Step 2: Convert to fraction form
    16,247.14/24,380.43 = 7,013.14/x
  3. Step 3: Cross multiply
    16,247.14x = 24,380.43 × 7,013.14
  4. Step 4: Simplify right side
    16,247.14x = 170,983,368.85
  5. Step 5: Solve for x
    x = 170,983,368.85/16,247.14
  6. Step 6: Final answer
    x = 10,523.91

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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.