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Finding the Fourth Proportional to 16,536.94, 24,748.20 and 10,209.22

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Solution

The fourth proportional to 16,536.94, 24,748.20 and 10,209.22 is: 15,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.94 : 24,748.20 = 10,209.22 : x
  2. Step 2: Convert to fraction form
    16,536.94/24,748.20 = 10,209.22/x
  3. Step 3: Cross multiply
    16,536.94x = 24,748.20 × 10,209.22
  4. Step 4: Simplify right side
    16,536.94x = 252,659,818.40
  5. Step 5: Solve for x
    x = 252,659,818.40/16,536.94
  6. Step 6: Final answer
    x = 15,278.51

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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.