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Finding the Fourth Proportional to 12,724.65, 17,541.45 and 8,936.46

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Solution

The fourth proportional to 12,724.65, 17,541.45 and 8,936.46 is: 12,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724.65 : 17,541.45 = 8,936.46 : x
  2. Step 2: Convert to fraction form
    12,724.65/17,541.45 = 8,936.46/x
  3. Step 3: Cross multiply
    12,724.65x = 17,541.45 × 8,936.46
  4. Step 4: Simplify right side
    12,724.65x = 156,758,466.27
  5. Step 5: Solve for x
    x = 156,758,466.27/12,724.65
  6. Step 6: Final answer
    x = 12,319.28

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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.