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Finding the Fourth Proportional to 18,638.50, 27,920.84 and 12,069.30

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Solution

The fourth proportional to 18,638.50, 27,920.84 and 12,069.30 is: 18,080.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,638.50 : 27,920.84 = 12,069.30 : x
  2. Step 2: Convert to fraction form
    18,638.50/27,920.84 = 12,069.30/x
  3. Step 3: Cross multiply
    18,638.50x = 27,920.84 × 12,069.30
  4. Step 4: Simplify right side
    18,638.50x = 336,984,994.21
  5. Step 5: Solve for x
    x = 336,984,994.21/18,638.50
  6. Step 6: Final answer
    x = 18,080.05

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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.