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Finding the Fourth Proportional to 18,097.32, 27,126.60 and 7,564.64

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Solution

The fourth proportional to 18,097.32, 27,126.60 and 7,564.64 is: 11,338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.32 : 27,126.60 = 7,564.64 : x
  2. Step 2: Convert to fraction form
    18,097.32/27,126.60 = 7,564.64/x
  3. Step 3: Cross multiply
    18,097.32x = 27,126.60 × 7,564.64
  4. Step 4: Simplify right side
    18,097.32x = 205,202,963.42
  5. Step 5: Solve for x
    x = 205,202,963.42/18,097.32
  6. Step 6: Final answer
    x = 11,338.86

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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.