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Finding the Fourth Proportional to 13,213.86, 18,235.13 and 7,245.40

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Solution

The fourth proportional to 13,213.86, 18,235.13 and 7,245.40 is: 9,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.86 : 18,235.13 = 7,245.40 : x
  2. Step 2: Convert to fraction form
    13,213.86/18,235.13 = 7,245.40/x
  3. Step 3: Cross multiply
    13,213.86x = 18,235.13 × 7,245.40
  4. Step 4: Simplify right side
    13,213.86x = 132,120,774.68
  5. Step 5: Solve for x
    x = 132,120,774.68/13,213.86
  6. Step 6: Final answer
    x = 9,998.65

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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.