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Finding the Fourth Proportional to 23,138.29, 31,930.91 and 12,527.89

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Solution

The fourth proportional to 23,138.29, 31,930.91 and 12,527.89 is: 17,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138.29 : 31,930.91 = 12,527.89 : x
  2. Step 2: Convert to fraction form
    23,138.29/31,930.91 = 12,527.89/x
  3. Step 3: Cross multiply
    23,138.29x = 31,930.91 × 12,527.89
  4. Step 4: Simplify right side
    23,138.29x = 400,026,865.44
  5. Step 5: Solve for x
    x = 400,026,865.44/23,138.29
  6. Step 6: Final answer
    x = 17,288.52

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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.