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Finding the Fourth Proportional to 14,791.30, 20,400.42 and 9,486.61

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Solution

The fourth proportional to 14,791.30, 20,400.42 and 9,486.61 is: 13,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791.30 : 20,400.42 = 9,486.61 : x
  2. Step 2: Convert to fraction form
    14,791.30/20,400.42 = 9,486.61/x
  3. Step 3: Cross multiply
    14,791.30x = 20,400.42 × 9,486.61
  4. Step 4: Simplify right side
    14,791.30x = 193,530,828.38
  5. Step 5: Solve for x
    x = 193,530,828.38/14,791.30
  6. Step 6: Final answer
    x = 13,084.10

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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.