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Finding the Fourth Proportional to 12,309.38, 18,445.11 and 8,355.50

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Solution

The fourth proportional to 12,309.38, 18,445.11 and 8,355.50 is: 12,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.38 : 18,445.11 = 8,355.50 : x
  2. Step 2: Convert to fraction form
    12,309.38/18,445.11 = 8,355.50/x
  3. Step 3: Cross multiply
    12,309.38x = 18,445.11 × 8,355.50
  4. Step 4: Simplify right side
    12,309.38x = 154,118,116.61
  5. Step 5: Solve for x
    x = 154,118,116.61/12,309.38
  6. Step 6: Final answer
    x = 12,520.38

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Why These Related Problems?

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