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Finding the Fourth Proportional to 31,823.04, 43,917.12 and 17,676

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Solution

The fourth proportional to 31,823.04, 43,917.12 and 17,676 is: 24,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,823.04 : 43,917.12 = 17,676 : x
  2. Step 2: Convert to fraction form
    31,823.04/43,917.12 = 17,676/x
  3. Step 3: Cross multiply
    31,823.04x = 43,917.12 × 17,676
  4. Step 4: Simplify right side
    31,823.04x = 776,279,013.12
  5. Step 5: Solve for x
    x = 776,279,013.12/31,823.04
  6. Step 6: Final answer
    x = 24,393.62

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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.