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Finding the Fourth Proportional to 23,020.29, 34,537.73 and 8,228.88

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Solution

The fourth proportional to 23,020.29, 34,537.73 and 8,228.88 is: 12,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,020.29 : 34,537.73 = 8,228.88 : x
  2. Step 2: Convert to fraction form
    23,020.29/34,537.73 = 8,228.88/x
  3. Step 3: Cross multiply
    23,020.29x = 34,537.73 × 8,228.88
  4. Step 4: Simplify right side
    23,020.29x = 284,206,835.64
  5. Step 5: Solve for x
    x = 284,206,835.64/23,020.29
  6. Step 6: Final answer
    x = 12,345.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.