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Finding the Fourth Proportional to 13,376.96, 18,463.24 and 8,340.20

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Solution

The fourth proportional to 13,376.96, 18,463.24 and 8,340.20 is: 11,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.96 : 18,463.24 = 8,340.20 : x
  2. Step 2: Convert to fraction form
    13,376.96/18,463.24 = 8,340.20/x
  3. Step 3: Cross multiply
    13,376.96x = 18,463.24 × 8,340.20
  4. Step 4: Simplify right side
    13,376.96x = 153,987,114.25
  5. Step 5: Solve for x
    x = 153,987,114.25/13,376.96
  6. Step 6: Final answer
    x = 11,511.37

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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.