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Finding the Fourth Proportional to 12,170.10, 18,255.15 and 10,902.90

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Solution

The fourth proportional to 12,170.10, 18,255.15 and 10,902.90 is: 16,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.10 : 18,255.15 = 10,902.90 : x
  2. Step 2: Convert to fraction form
    12,170.10/18,255.15 = 10,902.90/x
  3. Step 3: Cross multiply
    12,170.10x = 18,255.15 × 10,902.90
  4. Step 4: Simplify right side
    12,170.10x = 199,034,074.94
  5. Step 5: Solve for x
    x = 199,034,074.94/12,170.10
  6. Step 6: Final answer
    x = 16,354.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.