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Finding the Fourth Proportional to 13,511.66, 18,638.33 and 8,130.38

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Solution

The fourth proportional to 13,511.66, 18,638.33 and 8,130.38 is: 11,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.66 : 18,638.33 = 8,130.38 : x
  2. Step 2: Convert to fraction form
    13,511.66/18,638.33 = 8,130.38/x
  3. Step 3: Cross multiply
    13,511.66x = 18,638.33 × 8,130.38
  4. Step 4: Simplify right side
    13,511.66x = 151,536,571.62
  5. Step 5: Solve for x
    x = 151,536,571.62/13,511.66
  6. Step 6: Final answer
    x = 11,215.25

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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.