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Finding the Fourth Proportional to 12,352.33, 18,531.98 and 4,961.98

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Solution

The fourth proportional to 12,352.33, 18,531.98 and 4,961.98 is: 7,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.33 : 18,531.98 = 4,961.98 : x
  2. Step 2: Convert to fraction form
    12,352.33/18,531.98 = 4,961.98/x
  3. Step 3: Cross multiply
    12,352.33x = 18,531.98 × 4,961.98
  4. Step 4: Simplify right side
    12,352.33x = 91,955,314.12
  5. Step 5: Solve for x
    x = 91,955,314.12/12,352.33
  6. Step 6: Final answer
    x = 7,444.37

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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.