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Finding the Fourth Proportional to 13,179.89, 19,767.09 and 4,857.74

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Solution

The fourth proportional to 13,179.89, 19,767.09 and 4,857.74 is: 7,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,179.89 : 19,767.09 = 4,857.74 : x
  2. Step 2: Convert to fraction form
    13,179.89/19,767.09 = 4,857.74/x
  3. Step 3: Cross multiply
    13,179.89x = 19,767.09 × 4,857.74
  4. Step 4: Simplify right side
    13,179.89x = 96,023,383.78
  5. Step 5: Solve for x
    x = 96,023,383.78/13,179.89
  6. Step 6: Final answer
    x = 7,285.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.