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Finding the Fourth Proportional to 12,426.23, 17,146.64 and 8,401.82

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Solution

The fourth proportional to 12,426.23, 17,146.64 and 8,401.82 is: 11,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.23 : 17,146.64 = 8,401.82 : x
  2. Step 2: Convert to fraction form
    12,426.23/17,146.64 = 8,401.82/x
  3. Step 3: Cross multiply
    12,426.23x = 17,146.64 × 8,401.82
  4. Step 4: Simplify right side
    12,426.23x = 144,062,855.14
  5. Step 5: Solve for x
    x = 144,062,855.14/12,426.23
  6. Step 6: Final answer
    x = 11,593.45

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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.