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Finding the Fourth Proportional to 12,401.40, 18,602.10 and 5,489.40

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Solution

The fourth proportional to 12,401.40, 18,602.10 and 5,489.40 is: 8,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.40 : 18,602.10 = 5,489.40 : x
  2. Step 2: Convert to fraction form
    12,401.40/18,602.10 = 5,489.40/x
  3. Step 3: Cross multiply
    12,401.40x = 18,602.10 × 5,489.40
  4. Step 4: Simplify right side
    12,401.40x = 102,114,367.74
  5. Step 5: Solve for x
    x = 102,114,367.74/12,401.40
  6. Step 6: Final answer
    x = 8,234.10

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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.