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Finding the Fourth Proportional to 18,097.10, 27,125.85 and 6,404.30

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Solution

The fourth proportional to 18,097.10, 27,125.85 and 6,404.30 is: 9,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.10 : 27,125.85 = 6,404.30 : x
  2. Step 2: Convert to fraction form
    18,097.10/27,125.85 = 6,404.30/x
  3. Step 3: Cross multiply
    18,097.10x = 27,125.85 × 6,404.30
  4. Step 4: Simplify right side
    18,097.10x = 173,722,081.16
  5. Step 5: Solve for x
    x = 173,722,081.16/18,097.10
  6. Step 6: Final answer
    x = 9,599.44

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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.