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Finding the Fourth Proportional to 23,021.67, 31,772.72 and 12,950.54

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Solution

The fourth proportional to 23,021.67, 31,772.72 and 12,950.54 is: 17,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,021.67 : 31,772.72 = 12,950.54 : x
  2. Step 2: Convert to fraction form
    23,021.67/31,772.72 = 12,950.54/x
  3. Step 3: Cross multiply
    23,021.67x = 31,772.72 × 12,950.54
  4. Step 4: Simplify right side
    23,021.67x = 411,473,657.65
  5. Step 5: Solve for x
    x = 411,473,657.65/23,021.67
  6. Step 6: Final answer
    x = 17,873.32

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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.