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Finding the Fourth Proportional to 18,287.60, 27,428.96 and 5,141.09

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Solution

The fourth proportional to 18,287.60, 27,428.96 and 5,141.09 is: 7,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,287.60 : 27,428.96 = 5,141.09 : x
  2. Step 2: Convert to fraction form
    18,287.60/27,428.96 = 5,141.09/x
  3. Step 3: Cross multiply
    18,287.60x = 27,428.96 × 5,141.09
  4. Step 4: Simplify right side
    18,287.60x = 141,014,833.39
  5. Step 5: Solve for x
    x = 141,014,833.39/18,287.60
  6. Step 6: Final answer
    x = 7,710.96

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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.