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Finding the Fourth Proportional to 13,190.85, 18,204.75 and 7,816.50

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Solution

The fourth proportional to 13,190.85, 18,204.75 and 7,816.50 is: 10,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.85 : 18,204.75 = 7,816.50 : x
  2. Step 2: Convert to fraction form
    13,190.85/18,204.75 = 7,816.50/x
  3. Step 3: Cross multiply
    13,190.85x = 18,204.75 × 7,816.50
  4. Step 4: Simplify right side
    13,190.85x = 142,297,428.38
  5. Step 5: Solve for x
    x = 142,297,428.38/13,190.85
  6. Step 6: Final answer
    x = 10,787.59

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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.