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Finding the Fourth Proportional to 18,635.16, 27,965.70 and 12,045

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Solution

The fourth proportional to 18,635.16, 27,965.70 and 12,045 is: 18,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,635.16 : 27,965.70 = 12,045 : x
  2. Step 2: Convert to fraction form
    18,635.16/27,965.70 = 12,045/x
  3. Step 3: Cross multiply
    18,635.16x = 27,965.70 × 12,045
  4. Step 4: Simplify right side
    18,635.16x = 336,846,856.50
  5. Step 5: Solve for x
    x = 336,846,856.50/18,635.16
  6. Step 6: Final answer
    x = 18,075.88

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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.