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Finding the Fourth Proportional to 17,278.77, 23,846.64 and 9,726.96

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Solution

The fourth proportional to 17,278.77, 23,846.64 and 9,726.96 is: 13,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,278.77 : 23,846.64 = 9,726.96 : x
  2. Step 2: Convert to fraction form
    17,278.77/23,846.64 = 9,726.96/x
  3. Step 3: Cross multiply
    17,278.77x = 23,846.64 × 9,726.96
  4. Step 4: Simplify right side
    17,278.77x = 231,955,313.41
  5. Step 5: Solve for x
    x = 231,955,313.41/17,278.77
  6. Step 6: Final answer
    x = 13,424.30

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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.