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Finding the Fourth Proportional to 14,811.49, 22,198.29 and 6,489.28

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Solution

The fourth proportional to 14,811.49, 22,198.29 and 6,489.28 is: 9,725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.49 : 22,198.29 = 6,489.28 : x
  2. Step 2: Convert to fraction form
    14,811.49/22,198.29 = 6,489.28/x
  3. Step 3: Cross multiply
    14,811.49x = 22,198.29 × 6,489.28
  4. Step 4: Simplify right side
    14,811.49x = 144,050,919.33
  5. Step 5: Solve for x
    x = 144,050,919.33/14,811.49
  6. Step 6: Final answer
    x = 9,725.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.