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Finding the Fourth Proportional to 17,786, 24,546.84 and 10,334

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Solution

The fourth proportional to 17,786, 24,546.84 and 10,334 is: 14,262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786 : 24,546.84 = 10,334 : x
  2. Step 2: Convert to fraction form
    17,786/24,546.84 = 10,334/x
  3. Step 3: Cross multiply
    17,786x = 24,546.84 × 10,334
  4. Step 4: Simplify right side
    17,786x = 253,667,044.56
  5. Step 5: Solve for x
    x = 253,667,044.56/17,786
  6. Step 6: Final answer
    x = 14,262.18

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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.