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Finding the Fourth Proportional to 13,213.62, 19,805.85 and 5,415.75

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Solution

The fourth proportional to 13,213.62, 19,805.85 and 5,415.75 is: 8,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.62 : 19,805.85 = 5,415.75 : x
  2. Step 2: Convert to fraction form
    13,213.62/19,805.85 = 5,415.75/x
  3. Step 3: Cross multiply
    13,213.62x = 19,805.85 × 5,415.75
  4. Step 4: Simplify right side
    13,213.62x = 107,263,532.14
  5. Step 5: Solve for x
    x = 107,263,532.14/13,213.62
  6. Step 6: Final answer
    x = 8,117.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.