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Finding the Fourth Proportional to 13,519.10, 18,656.16 and 7,550.85

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Solution

The fourth proportional to 13,519.10, 18,656.16 and 7,550.85 is: 10,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.10 : 18,656.16 = 7,550.85 : x
  2. Step 2: Convert to fraction form
    13,519.10/18,656.16 = 7,550.85/x
  3. Step 3: Cross multiply
    13,519.10x = 18,656.16 × 7,550.85
  4. Step 4: Simplify right side
    13,519.10x = 140,869,912.38
  5. Step 5: Solve for x
    x = 140,869,912.38/13,519.10
  6. Step 6: Final answer
    x = 10,420.07

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Why These Related Problems?

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