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Finding the Fourth Proportional to 17,938, 24,754.56 and 10,864.48

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Solution

The fourth proportional to 17,938, 24,754.56 and 10,864.48 is: 14,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,938 : 24,754.56 = 10,864.48 : x
  2. Step 2: Convert to fraction form
    17,938/24,754.56 = 10,864.48/x
  3. Step 3: Cross multiply
    17,938x = 24,754.56 × 10,864.48
  4. Step 4: Simplify right side
    17,938x = 268,945,422.03
  5. Step 5: Solve for x
    x = 268,945,422.03/17,938
  6. Step 6: Final answer
    x = 14,993.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.