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Finding the Fourth Proportional to 23,191.82, 31,992.45 and 16,480.16

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Solution

The fourth proportional to 23,191.82, 31,992.45 and 16,480.16 is: 22,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,191.82 : 31,992.45 = 16,480.16 : x
  2. Step 2: Convert to fraction form
    23,191.82/31,992.45 = 16,480.16/x
  3. Step 3: Cross multiply
    23,191.82x = 31,992.45 × 16,480.16
  4. Step 4: Simplify right side
    23,191.82x = 527,240,694.79
  5. Step 5: Solve for x
    x = 527,240,694.79/23,191.82
  6. Step 6: Final answer
    x = 22,733.91

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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.