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Finding the Fourth Proportional to 12,497.74, 17,226.85 and 8,463.28

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Solution

The fourth proportional to 12,497.74, 17,226.85 and 8,463.28 is: 11,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.74 : 17,226.85 = 8,463.28 : x
  2. Step 2: Convert to fraction form
    12,497.74/17,226.85 = 8,463.28/x
  3. Step 3: Cross multiply
    12,497.74x = 17,226.85 × 8,463.28
  4. Step 4: Simplify right side
    12,497.74x = 145,795,655.07
  5. Step 5: Solve for x
    x = 145,795,655.07/12,497.74
  6. Step 6: Final answer
    x = 11,665.76

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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.