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Finding the Fourth Proportional to 14,992.14, 20,684.98 and 8,618.38

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Solution

The fourth proportional to 14,992.14, 20,684.98 and 8,618.38 is: 11,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.14 : 20,684.98 = 8,618.38 : x
  2. Step 2: Convert to fraction form
    14,992.14/20,684.98 = 8,618.38/x
  3. Step 3: Cross multiply
    14,992.14x = 20,684.98 × 8,618.38
  4. Step 4: Simplify right side
    14,992.14x = 178,271,017.93
  5. Step 5: Solve for x
    x = 178,271,017.93/14,992.14
  6. Step 6: Final answer
    x = 11,890.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.