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Finding the Fourth Proportional to 17,933.47, 24,744.79 and 10,380.22

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Solution

The fourth proportional to 17,933.47, 24,744.79 and 10,380.22 is: 14,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,933.47 : 24,744.79 = 10,380.22 : x
  2. Step 2: Convert to fraction form
    17,933.47/24,744.79 = 10,380.22/x
  3. Step 3: Cross multiply
    17,933.47x = 24,744.79 × 10,380.22
  4. Step 4: Simplify right side
    17,933.47x = 256,856,315.17
  5. Step 5: Solve for x
    x = 256,856,315.17/17,933.47
  6. Step 6: Final answer
    x = 14,322.74

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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.