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Finding the Fourth Proportional to 14,860.98, 20,504.06 and 9,193

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Solution

The fourth proportional to 14,860.98, 20,504.06 and 9,193 is: 12,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,860.98 : 20,504.06 = 9,193 : x
  2. Step 2: Convert to fraction form
    14,860.98/20,504.06 = 9,193/x
  3. Step 3: Cross multiply
    14,860.98x = 20,504.06 × 9,193
  4. Step 4: Simplify right side
    14,860.98x = 188,493,823.58
  5. Step 5: Solve for x
    x = 188,493,823.58/14,860.98
  6. Step 6: Final answer
    x = 12,683.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.