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Finding the Fourth Proportional to 12,401.40, 18,605.34 and 7,202.82

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Solution

The fourth proportional to 12,401.40, 18,605.34 and 7,202.82 is: 10,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.40 : 18,605.34 = 7,202.82 : x
  2. Step 2: Convert to fraction form
    12,401.40/18,605.34 = 7,202.82/x
  3. Step 3: Cross multiply
    12,401.40x = 18,605.34 × 7,202.82
  4. Step 4: Simplify right side
    12,401.40x = 134,010,915.06
  5. Step 5: Solve for x
    x = 134,010,915.06/12,401.40
  6. Step 6: Final answer
    x = 10,806.11

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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.