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Finding the Fourth Proportional to 12,401.49, 17,112.87 and 7,024.17

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Solution

The fourth proportional to 12,401.49, 17,112.87 and 7,024.17 is: 9,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.49 : 17,112.87 = 7,024.17 : x
  2. Step 2: Convert to fraction form
    12,401.49/17,112.87 = 7,024.17/x
  3. Step 3: Cross multiply
    12,401.49x = 17,112.87 × 7,024.17
  4. Step 4: Simplify right side
    12,401.49x = 120,203,708.07
  5. Step 5: Solve for x
    x = 120,203,708.07/12,401.49
  6. Step 6: Final answer
    x = 9,692.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.