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Finding the Fourth Proportional to 16,453.41, 24,680.11 and 4,141.41

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Solution

The fourth proportional to 16,453.41, 24,680.11 and 4,141.41 is: 6,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.41 : 24,680.11 = 4,141.41 : x
  2. Step 2: Convert to fraction form
    16,453.41/24,680.11 = 4,141.41/x
  3. Step 3: Cross multiply
    16,453.41x = 24,680.11 × 4,141.41
  4. Step 4: Simplify right side
    16,453.41x = 102,210,359.22
  5. Step 5: Solve for x
    x = 102,210,359.22/16,453.41
  6. Step 6: Final answer
    x = 6,212.11

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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.