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Finding the Fourth Proportional to 13,201.20, 19,798.64 and 6,186

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Solution

The fourth proportional to 13,201.20, 19,798.64 and 6,186 is: 9,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.20 : 19,798.64 = 6,186 : x
  2. Step 2: Convert to fraction form
    13,201.20/19,798.64 = 6,186/x
  3. Step 3: Cross multiply
    13,201.20x = 19,798.64 × 6,186
  4. Step 4: Simplify right side
    13,201.20x = 122,474,387.04
  5. Step 5: Solve for x
    x = 122,474,387.04/13,201.20
  6. Step 6: Final answer
    x = 9,277.52

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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.