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Finding the Fourth Proportional to 12,232.50, 18,348.75 and 2,998.50

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Solution

The fourth proportional to 12,232.50, 18,348.75 and 2,998.50 is: 4,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.50 : 18,348.75 = 2,998.50 : x
  2. Step 2: Convert to fraction form
    12,232.50/18,348.75 = 2,998.50/x
  3. Step 3: Cross multiply
    12,232.50x = 18,348.75 × 2,998.50
  4. Step 4: Simplify right side
    12,232.50x = 55,018,726.88
  5. Step 5: Solve for x
    x = 55,018,726.88/12,232.50
  6. Step 6: Final answer
    x = 4,497.75

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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.