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Finding the Fourth Proportional to 23,020.08, 31,768.08 and 12,950.64

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Solution

The fourth proportional to 23,020.08, 31,768.08 and 12,950.64 is: 17,872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,020.08 : 31,768.08 = 12,950.64 : x
  2. Step 2: Convert to fraction form
    23,020.08/31,768.08 = 12,950.64/x
  3. Step 3: Cross multiply
    23,020.08x = 31,768.08 × 12,950.64
  4. Step 4: Simplify right side
    23,020.08x = 411,416,967.57
  5. Step 5: Solve for x
    x = 411,416,967.57/23,020.08
  6. Step 6: Final answer
    x = 17,872.09

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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.