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Finding the Fourth Proportional to 13,455.25, 20,187.20 and 4,097.08

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Solution

The fourth proportional to 13,455.25, 20,187.20 and 4,097.08 is: 6,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.25 : 20,187.20 = 4,097.08 : x
  2. Step 2: Convert to fraction form
    13,455.25/20,187.20 = 4,097.08/x
  3. Step 3: Cross multiply
    13,455.25x = 20,187.20 × 4,097.08
  4. Step 4: Simplify right side
    13,455.25x = 82,708,573.38
  5. Step 5: Solve for x
    x = 82,708,573.38/13,455.25
  6. Step 6: Final answer
    x = 6,146.94

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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.