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Finding the Fourth Proportional to 13,451.47, 18,563.37 and 7,401.86

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Solution

The fourth proportional to 13,451.47, 18,563.37 and 7,401.86 is: 10,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.47 : 18,563.37 = 7,401.86 : x
  2. Step 2: Convert to fraction form
    13,451.47/18,563.37 = 7,401.86/x
  3. Step 3: Cross multiply
    13,451.47x = 18,563.37 × 7,401.86
  4. Step 4: Simplify right side
    13,451.47x = 137,403,542.99
  5. Step 5: Solve for x
    x = 137,403,542.99/13,451.47
  6. Step 6: Final answer
    x = 10,214.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.