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Finding the Fourth Proportional to 14,731.08, 20,317.86 and 10,255.08

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Solution

The fourth proportional to 14,731.08, 20,317.86 and 10,255.08 is: 14,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,731.08 : 20,317.86 = 10,255.08 : x
  2. Step 2: Convert to fraction form
    14,731.08/20,317.86 = 10,255.08/x
  3. Step 3: Cross multiply
    14,731.08x = 20,317.86 × 10,255.08
  4. Step 4: Simplify right side
    14,731.08x = 208,361,279.73
  5. Step 5: Solve for x
    x = 208,361,279.73/14,731.08
  6. Step 6: Final answer
    x = 14,144.33

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