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Finding the Fourth Proportional to 13,177.64, 19,769.09 and 4,857.68

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Solution

The fourth proportional to 13,177.64, 19,769.09 and 4,857.68 is: 7,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177.64 : 19,769.09 = 4,857.68 : x
  2. Step 2: Convert to fraction form
    13,177.64/19,769.09 = 4,857.68/x
  3. Step 3: Cross multiply
    13,177.64x = 19,769.09 × 4,857.68
  4. Step 4: Simplify right side
    13,177.64x = 96,031,974.68
  5. Step 5: Solve for x
    x = 96,031,974.68/13,177.64
  6. Step 6: Final answer
    x = 7,287.50

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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.