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Finding the Fourth Proportional to 15,512.80, 23,269.20 and 11,576.20

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Solution

The fourth proportional to 15,512.80, 23,269.20 and 11,576.20 is: 17,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,512.80 : 23,269.20 = 11,576.20 : x
  2. Step 2: Convert to fraction form
    15,512.80/23,269.20 = 11,576.20/x
  3. Step 3: Cross multiply
    15,512.80x = 23,269.20 × 11,576.20
  4. Step 4: Simplify right side
    15,512.80x = 269,368,913.04
  5. Step 5: Solve for x
    x = 269,368,913.04/15,512.80
  6. Step 6: Final answer
    x = 17,364.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.