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Finding the Fourth Proportional to 18,720.95, 28,083.11 and 8,187.84

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Solution

The fourth proportional to 18,720.95, 28,083.11 and 8,187.84 is: 12,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,720.95 : 28,083.11 = 8,187.84 : x
  2. Step 2: Convert to fraction form
    18,720.95/28,083.11 = 8,187.84/x
  3. Step 3: Cross multiply
    18,720.95x = 28,083.11 × 8,187.84
  4. Step 4: Simplify right side
    18,720.95x = 229,939,970.44
  5. Step 5: Solve for x
    x = 229,939,970.44/18,720.95
  6. Step 6: Final answer
    x = 12,282.50

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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.