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Finding the Fourth Proportional to 18,097.85, 27,132.19 and 7,716.89

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Solution

The fourth proportional to 18,097.85, 27,132.19 and 7,716.89 is: 11,569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.85 : 27,132.19 = 7,716.89 : x
  2. Step 2: Convert to fraction form
    18,097.85/27,132.19 = 7,716.89/x
  3. Step 3: Cross multiply
    18,097.85x = 27,132.19 × 7,716.89
  4. Step 4: Simplify right side
    18,097.85x = 209,376,174.23
  5. Step 5: Solve for x
    x = 209,376,174.23/18,097.85
  6. Step 6: Final answer
    x = 11,569.12

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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.