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Finding the Fourth Proportional to 16,286.65, 24,365.41 and 10,261.80

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Solution

The fourth proportional to 16,286.65, 24,365.41 and 10,261.80 is: 15,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.65 : 24,365.41 = 10,261.80 : x
  2. Step 2: Convert to fraction form
    16,286.65/24,365.41 = 10,261.80/x
  3. Step 3: Cross multiply
    16,286.65x = 24,365.41 × 10,261.80
  4. Step 4: Simplify right side
    16,286.65x = 250,032,938.68
  5. Step 5: Solve for x
    x = 250,032,938.68/16,286.65
  6. Step 6: Final answer
    x = 15,352.02

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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.