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Finding the Fourth Proportional to 10,674.68, 16,028.40 and 9,515.57

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Solution

The fourth proportional to 10,674.68, 16,028.40 and 9,515.57 is: 14,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.68 : 16,028.40 = 9,515.57 : x
  2. Step 2: Convert to fraction form
    10,674.68/16,028.40 = 9,515.57/x
  3. Step 3: Cross multiply
    10,674.68x = 16,028.40 × 9,515.57
  4. Step 4: Simplify right side
    10,674.68x = 152,519,282.05
  5. Step 5: Solve for x
    x = 152,519,282.05/10,674.68
  6. Step 6: Final answer
    x = 14,287.96

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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.