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Finding the Fourth Proportional to 13,406.54, 20,119.52 and 9,431.66

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Solution

The fourth proportional to 13,406.54, 20,119.52 and 9,431.66 is: 14,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.54 : 20,119.52 = 9,431.66 : x
  2. Step 2: Convert to fraction form
    13,406.54/20,119.52 = 9,431.66/x
  3. Step 3: Cross multiply
    13,406.54x = 20,119.52 × 9,431.66
  4. Step 4: Simplify right side
    13,406.54x = 189,760,324.25
  5. Step 5: Solve for x
    x = 189,760,324.25/13,406.54
  6. Step 6: Final answer
    x = 14,154.32

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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.