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Finding the Fourth Proportional to 14,769.50, 20,382.09 and 8,482.46

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Solution

The fourth proportional to 14,769.50, 20,382.09 and 8,482.46 is: 11,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769.50 : 20,382.09 = 8,482.46 : x
  2. Step 2: Convert to fraction form
    14,769.50/20,382.09 = 8,482.46/x
  3. Step 3: Cross multiply
    14,769.50x = 20,382.09 × 8,482.46
  4. Step 4: Simplify right side
    14,769.50x = 172,890,263.14
  5. Step 5: Solve for x
    x = 172,890,263.14/14,769.50
  6. Step 6: Final answer
    x = 11,705.90

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