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Finding the Fourth Proportional to 13,213.44, 18,237.12 and 7,624.56

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Solution

The fourth proportional to 13,213.44, 18,237.12 and 7,624.56 is: 10,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.44 : 18,237.12 = 7,624.56 : x
  2. Step 2: Convert to fraction form
    13,213.44/18,237.12 = 7,624.56/x
  3. Step 3: Cross multiply
    13,213.44x = 18,237.12 × 7,624.56
  4. Step 4: Simplify right side
    13,213.44x = 139,050,015.67
  5. Step 5: Solve for x
    x = 139,050,015.67/13,213.44
  6. Step 6: Final answer
    x = 10,523.38

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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.