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Finding the Fourth Proportional to 13,463.67, 20,198.88 and 4,698.66

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Solution

The fourth proportional to 13,463.67, 20,198.88 and 4,698.66 is: 7,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.67 : 20,198.88 = 4,698.66 : x
  2. Step 2: Convert to fraction form
    13,463.67/20,198.88 = 4,698.66/x
  3. Step 3: Cross multiply
    13,463.67x = 20,198.88 × 4,698.66
  4. Step 4: Simplify right side
    13,463.67x = 94,907,669.50
  5. Step 5: Solve for x
    x = 94,907,669.50/13,463.67
  6. Step 6: Final answer
    x = 7,049.17

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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.