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Finding the Fourth Proportional to 13,638.38, 18,821.22 and 8,261.01

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Solution

The fourth proportional to 13,638.38, 18,821.22 and 8,261.01 is: 11,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.38 : 18,821.22 = 8,261.01 : x
  2. Step 2: Convert to fraction form
    13,638.38/18,821.22 = 8,261.01/x
  3. Step 3: Cross multiply
    13,638.38x = 18,821.22 × 8,261.01
  4. Step 4: Simplify right side
    13,638.38x = 155,482,366.67
  5. Step 5: Solve for x
    x = 155,482,366.67/13,638.38
  6. Step 6: Final answer
    x = 11,400.36

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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.