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Finding the Fourth Proportional to 12,532.31, 17,313.31 and 8,235.56

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Solution

The fourth proportional to 12,532.31, 17,313.31 and 8,235.56 is: 11,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.31 : 17,313.31 = 8,235.56 : x
  2. Step 2: Convert to fraction form
    12,532.31/17,313.31 = 8,235.56/x
  3. Step 3: Cross multiply
    12,532.31x = 17,313.31 × 8,235.56
  4. Step 4: Simplify right side
    12,532.31x = 142,584,803.30
  5. Step 5: Solve for x
    x = 142,584,803.30/12,532.31
  6. Step 6: Final answer
    x = 11,377.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.