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Finding the Fourth Proportional to 8,267.54, 12,401.40 and 2,424.26

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Solution

The fourth proportional to 8,267.54, 12,401.40 and 2,424.26 is: 3,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.54 : 12,401.40 = 2,424.26 : x
  2. Step 2: Convert to fraction form
    8,267.54/12,401.40 = 2,424.26/x
  3. Step 3: Cross multiply
    8,267.54x = 12,401.40 × 2,424.26
  4. Step 4: Simplify right side
    8,267.54x = 30,064,258.06
  5. Step 5: Solve for x
    x = 30,064,258.06/8,267.54
  6. Step 6: Final answer
    x = 3,636.42

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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.