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Finding the Fourth Proportional to 16,453.76, 24,680.64 and 4,141.76

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Solution

The fourth proportional to 16,453.76, 24,680.64 and 4,141.76 is: 6,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.76 : 24,680.64 = 4,141.76 : x
  2. Step 2: Convert to fraction form
    16,453.76/24,680.64 = 4,141.76/x
  3. Step 3: Cross multiply
    16,453.76x = 24,680.64 × 4,141.76
  4. Step 4: Simplify right side
    16,453.76x = 102,221,287.53
  5. Step 5: Solve for x
    x = 102,221,287.53/16,453.76
  6. Step 6: Final answer
    x = 6,212.64

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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.