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Finding the Fourth Proportional to 13,400.88, 20,095.92 and 4,038

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Solution

The fourth proportional to 13,400.88, 20,095.92 and 4,038 is: 6,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.88 : 20,095.92 = 4,038 : x
  2. Step 2: Convert to fraction form
    13,400.88/20,095.92 = 4,038/x
  3. Step 3: Cross multiply
    13,400.88x = 20,095.92 × 4,038
  4. Step 4: Simplify right side
    13,400.88x = 81,147,324.96
  5. Step 5: Solve for x
    x = 81,147,324.96/13,400.88
  6. Step 6: Final answer
    x = 6,055.37

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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.