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Finding the Fourth Proportional to 14,811.30, 20,440.14 and 8,097.38

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Solution

The fourth proportional to 14,811.30, 20,440.14 and 8,097.38 is: 11,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.30 : 20,440.14 = 8,097.38 : x
  2. Step 2: Convert to fraction form
    14,811.30/20,440.14 = 8,097.38/x
  3. Step 3: Cross multiply
    14,811.30x = 20,440.14 × 8,097.38
  4. Step 4: Simplify right side
    14,811.30x = 165,511,580.83
  5. Step 5: Solve for x
    x = 165,511,580.83/14,811.30
  6. Step 6: Final answer
    x = 11,174.68

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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.