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Finding the Fourth Proportional to 23,143.28, 31,937.88 and 12,533

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Solution

The fourth proportional to 23,143.28, 31,937.88 and 12,533 is: 17,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.28 : 31,937.88 = 12,533 : x
  2. Step 2: Convert to fraction form
    23,143.28/31,937.88 = 12,533/x
  3. Step 3: Cross multiply
    23,143.28x = 31,937.88 × 12,533
  4. Step 4: Simplify right side
    23,143.28x = 400,277,450.04
  5. Step 5: Solve for x
    x = 400,277,450.04/23,143.28
  6. Step 6: Final answer
    x = 17,295.62

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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.