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Finding the Fourth Proportional to 16,546.80, 24,819.12 and 9,154.80

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Solution

The fourth proportional to 16,546.80, 24,819.12 and 9,154.80 is: 13,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.80 : 24,819.12 = 9,154.80 : x
  2. Step 2: Convert to fraction form
    16,546.80/24,819.12 = 9,154.80/x
  3. Step 3: Cross multiply
    16,546.80x = 24,819.12 × 9,154.80
  4. Step 4: Simplify right side
    16,546.80x = 227,214,079.78
  5. Step 5: Solve for x
    x = 227,214,079.78/16,546.80
  6. Step 6: Final answer
    x = 13,731.60

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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.