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Finding the Fourth Proportional to 23,506.95, 32,440.09 and 12,896.57

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Solution

The fourth proportional to 23,506.95, 32,440.09 and 12,896.57 is: 17,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.95 : 32,440.09 = 12,896.57 : x
  2. Step 2: Convert to fraction form
    23,506.95/32,440.09 = 12,896.57/x
  3. Step 3: Cross multiply
    23,506.95x = 32,440.09 × 12,896.57
  4. Step 4: Simplify right side
    23,506.95x = 418,365,891.49
  5. Step 5: Solve for x
    x = 418,365,891.49/23,506.95
  6. Step 6: Final answer
    x = 17,797.54

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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.