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Finding the Fourth Proportional to 12,232.30, 18,363.42 and 8,075.82

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Solution

The fourth proportional to 12,232.30, 18,363.42 and 8,075.82 is: 12,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.30 : 18,363.42 = 8,075.82 : x
  2. Step 2: Convert to fraction form
    12,232.30/18,363.42 = 8,075.82/x
  3. Step 3: Cross multiply
    12,232.30x = 18,363.42 × 8,075.82
  4. Step 4: Simplify right side
    12,232.30x = 148,299,674.50
  5. Step 5: Solve for x
    x = 148,299,674.50/12,232.30
  6. Step 6: Final answer
    x = 12,123.61

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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.