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Finding the Fourth Proportional to 23,021.80, 31,772.88 and 12,950.66

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Solution

The fourth proportional to 23,021.80, 31,772.88 and 12,950.66 is: 17,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,021.80 : 31,772.88 = 12,950.66 : x
  2. Step 2: Convert to fraction form
    23,021.80/31,772.88 = 12,950.66/x
  3. Step 3: Cross multiply
    23,021.80x = 31,772.88 × 12,950.66
  4. Step 4: Simplify right side
    23,021.80x = 411,479,766.10
  5. Step 5: Solve for x
    x = 411,479,766.10/23,021.80
  6. Step 6: Final answer
    x = 17,873.48

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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.