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Finding the Fourth Proportional to 18,137.10, 27,205.65 and 16,095.90

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Solution

The fourth proportional to 18,137.10, 27,205.65 and 16,095.90 is: 24,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.10 : 27,205.65 = 16,095.90 : x
  2. Step 2: Convert to fraction form
    18,137.10/27,205.65 = 16,095.90/x
  3. Step 3: Cross multiply
    18,137.10x = 27,205.65 × 16,095.90
  4. Step 4: Simplify right side
    18,137.10x = 437,899,421.84
  5. Step 5: Solve for x
    x = 437,899,421.84/18,137.10
  6. Step 6: Final answer
    x = 24,143.85

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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.