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Finding the Fourth Proportional to 17,835.88, 24,607.86 and 10,382.44

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Solution

The fourth proportional to 17,835.88, 24,607.86 and 10,382.44 is: 14,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.88 : 24,607.86 = 10,382.44 : x
  2. Step 2: Convert to fraction form
    17,835.88/24,607.86 = 10,382.44/x
  3. Step 3: Cross multiply
    17,835.88x = 24,607.86 × 10,382.44
  4. Step 4: Simplify right side
    17,835.88x = 255,489,629.98
  5. Step 5: Solve for x
    x = 255,489,629.98/17,835.88
  6. Step 6: Final answer
    x = 14,324.48

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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.