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Finding the Fourth Proportional to 13,638.35, 18,820.55 and 7,669.87

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Solution

The fourth proportional to 13,638.35, 18,820.55 and 7,669.87 is: 10,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.35 : 18,820.55 = 7,669.87 : x
  2. Step 2: Convert to fraction form
    13,638.35/18,820.55 = 7,669.87/x
  3. Step 3: Cross multiply
    13,638.35x = 18,820.55 × 7,669.87
  4. Step 4: Simplify right side
    13,638.35x = 144,351,143.95
  5. Step 5: Solve for x
    x = 144,351,143.95/13,638.35
  6. Step 6: Final answer
    x = 10,584.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.