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Finding the Fourth Proportional to 13,406.37, 20,076.74 and 9,447.90

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Solution

The fourth proportional to 13,406.37, 20,076.74 and 9,447.90 is: 14,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.37 : 20,076.74 = 9,447.90 : x
  2. Step 2: Convert to fraction form
    13,406.37/20,076.74 = 9,447.90/x
  3. Step 3: Cross multiply
    13,406.37x = 20,076.74 × 9,447.90
  4. Step 4: Simplify right side
    13,406.37x = 189,682,984.61
  5. Step 5: Solve for x
    x = 189,682,984.61/13,406.37
  6. Step 6: Final answer
    x = 14,148.72

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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.