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Finding the Fourth Proportional to 12,436.53, 17,167.70 and 7,401.22

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Solution

The fourth proportional to 12,436.53, 17,167.70 and 7,401.22 is: 10,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.53 : 17,167.70 = 7,401.22 : x
  2. Step 2: Convert to fraction form
    12,436.53/17,167.70 = 7,401.22/x
  3. Step 3: Cross multiply
    12,436.53x = 17,167.70 × 7,401.22
  4. Step 4: Simplify right side
    12,436.53x = 127,061,900.18
  5. Step 5: Solve for x
    x = 127,061,900.18/12,436.53
  6. Step 6: Final answer
    x = 10,216.83

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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.