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Finding the Fourth Proportional to 18,277.62, 27,349.08 and 16,180.98

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Solution

The fourth proportional to 18,277.62, 27,349.08 and 16,180.98 is: 24,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277.62 : 27,349.08 = 16,180.98 : x
  2. Step 2: Convert to fraction form
    18,277.62/27,349.08 = 16,180.98/x
  3. Step 3: Cross multiply
    18,277.62x = 27,349.08 × 16,180.98
  4. Step 4: Simplify right side
    18,277.62x = 442,534,916.50
  5. Step 5: Solve for x
    x = 442,534,916.50/18,277.62
  6. Step 6: Final answer
    x = 24,211.85

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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.