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Finding the Fourth Proportional to 14,446.68, 21,674.84 and 9,766.48

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Solution

The fourth proportional to 14,446.68, 21,674.84 and 9,766.48 is: 14,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.68 : 21,674.84 = 9,766.48 : x
  2. Step 2: Convert to fraction form
    14,446.68/21,674.84 = 9,766.48/x
  3. Step 3: Cross multiply
    14,446.68x = 21,674.84 × 9,766.48
  4. Step 4: Simplify right side
    14,446.68x = 211,686,891.36
  5. Step 5: Solve for x
    x = 211,686,891.36/14,446.68
  6. Step 6: Final answer
    x = 14,652.98

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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.