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Finding the Fourth Proportional to 14,813.33, 20,441.57 and 8,097.71

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Solution

The fourth proportional to 14,813.33, 20,441.57 and 8,097.71 is: 11,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.33 : 20,441.57 = 8,097.71 : x
  2. Step 2: Convert to fraction form
    14,813.33/20,441.57 = 8,097.71/x
  3. Step 3: Cross multiply
    14,813.33x = 20,441.57 × 8,097.71
  4. Step 4: Simplify right side
    14,813.33x = 165,529,763.11
  5. Step 5: Solve for x
    x = 165,529,763.11/14,813.33
  6. Step 6: Final answer
    x = 11,174.38

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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.