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Finding the Fourth Proportional to 13,367.96, 20,040.90 and 7,807.64

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Solution

The fourth proportional to 13,367.96, 20,040.90 and 7,807.64 is: 11,705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367.96 : 20,040.90 = 7,807.64 : x
  2. Step 2: Convert to fraction form
    13,367.96/20,040.90 = 7,807.64/x
  3. Step 3: Cross multiply
    13,367.96x = 20,040.90 × 7,807.64
  4. Step 4: Simplify right side
    13,367.96x = 156,472,132.48
  5. Step 5: Solve for x
    x = 156,472,132.48/13,367.96
  6. Step 6: Final answer
    x = 11,705.01

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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.