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Finding the Fourth Proportional to 13,420.15, 18,519.25 and 7,451.47

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Solution

The fourth proportional to 13,420.15, 18,519.25 and 7,451.47 is: 10,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.15 : 18,519.25 = 7,451.47 : x
  2. Step 2: Convert to fraction form
    13,420.15/18,519.25 = 7,451.47/x
  3. Step 3: Cross multiply
    13,420.15x = 18,519.25 × 7,451.47
  4. Step 4: Simplify right side
    13,420.15x = 137,995,635.80
  5. Step 5: Solve for x
    x = 137,995,635.80/13,420.15
  6. Step 6: Final answer
    x = 10,282.72

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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.