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Finding the Fourth Proportional to 13,420.91, 18,520.24 and 7,452.95

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Solution

The fourth proportional to 13,420.91, 18,520.24 and 7,452.95 is: 10,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.91 : 18,520.24 = 7,452.95 : x
  2. Step 2: Convert to fraction form
    13,420.91/18,520.24 = 7,452.95/x
  3. Step 3: Cross multiply
    13,420.91x = 18,520.24 × 7,452.95
  4. Step 4: Simplify right side
    13,420.91x = 138,030,385.44
  5. Step 5: Solve for x
    x = 138,030,385.44/13,420.91
  6. Step 6: Final answer
    x = 10,284.73

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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.