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Finding the Fourth Proportional to 16,536.80, 24,769.56 and 7,758.56

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Solution

The fourth proportional to 16,536.80, 24,769.56 and 7,758.56 is: 11,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.80 : 24,769.56 = 7,758.56 : x
  2. Step 2: Convert to fraction form
    16,536.80/24,769.56 = 7,758.56/x
  3. Step 3: Cross multiply
    16,536.80x = 24,769.56 × 7,758.56
  4. Step 4: Simplify right side
    16,536.80x = 192,176,117.43
  5. Step 5: Solve for x
    x = 192,176,117.43/16,536.80
  6. Step 6: Final answer
    x = 11,621.12

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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.