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Finding the Fourth Proportional to 31,511.43, 43,485.80 and 17,364.24

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Solution

The fourth proportional to 31,511.43, 43,485.80 and 17,364.24 is: 23,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.43 : 43,485.80 = 17,364.24 : x
  2. Step 2: Convert to fraction form
    31,511.43/43,485.80 = 17,364.24/x
  3. Step 3: Cross multiply
    31,511.43x = 43,485.80 × 17,364.24
  4. Step 4: Simplify right side
    31,511.43x = 755,097,780.97
  5. Step 5: Solve for x
    x = 755,097,780.97/31,511.43
  6. Step 6: Final answer
    x = 23,962.66

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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.