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Finding the Fourth Proportional to 14,894.25, 20,554.16 and 8,179.95

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Solution

The fourth proportional to 14,894.25, 20,554.16 and 8,179.95 is: 11,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894.25 : 20,554.16 = 8,179.95 : x
  2. Step 2: Convert to fraction form
    14,894.25/20,554.16 = 8,179.95/x
  3. Step 3: Cross multiply
    14,894.25x = 20,554.16 × 8,179.95
  4. Step 4: Simplify right side
    14,894.25x = 168,132,037.27
  5. Step 5: Solve for x
    x = 168,132,037.27/14,894.25
  6. Step 6: Final answer
    x = 11,288.39

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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.