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Finding the Fourth Proportional to 13,548.86, 20,310.07 and 5,653.64

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Solution

The fourth proportional to 13,548.86, 20,310.07 and 5,653.64 is: 8,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.86 : 20,310.07 = 5,653.64 : x
  2. Step 2: Convert to fraction form
    13,548.86/20,310.07 = 5,653.64/x
  3. Step 3: Cross multiply
    13,548.86x = 20,310.07 × 5,653.64
  4. Step 4: Simplify right side
    13,548.86x = 114,825,860.80
  5. Step 5: Solve for x
    x = 114,825,860.80/13,548.86
  6. Step 6: Final answer
    x = 8,474.95

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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.