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Finding the Fourth Proportional to 23,427.50, 35,146.11 and 9,576.50

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Solution

The fourth proportional to 23,427.50, 35,146.11 and 9,576.50 is: 14,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,427.50 : 35,146.11 = 9,576.50 : x
  2. Step 2: Convert to fraction form
    23,427.50/35,146.11 = 9,576.50/x
  3. Step 3: Cross multiply
    23,427.50x = 35,146.11 × 9,576.50
  4. Step 4: Simplify right side
    23,427.50x = 336,576,722.42
  5. Step 5: Solve for x
    x = 336,576,722.42/23,427.50
  6. Step 6: Final answer
    x = 14,366.74

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Why These Related Problems?

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