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Finding the Fourth Proportional to 12,515.46, 18,773.24 and 10,164.30

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Solution

The fourth proportional to 12,515.46, 18,773.24 and 10,164.30 is: 15,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,515.46 : 18,773.24 = 10,164.30 : x
  2. Step 2: Convert to fraction form
    12,515.46/18,773.24 = 10,164.30/x
  3. Step 3: Cross multiply
    12,515.46x = 18,773.24 × 10,164.30
  4. Step 4: Simplify right side
    12,515.46x = 190,816,722.11
  5. Step 5: Solve for x
    x = 190,816,722.11/12,515.46
  6. Step 6: Final answer
    x = 15,246.49

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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.