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Finding the Fourth Proportional to 18,097.10, 27,145.65 and 6,408.80

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Solution

The fourth proportional to 18,097.10, 27,145.65 and 6,408.80 is: 9,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.10 : 27,145.65 = 6,408.80 : x
  2. Step 2: Convert to fraction form
    18,097.10/27,145.65 = 6,408.80/x
  3. Step 3: Cross multiply
    18,097.10x = 27,145.65 × 6,408.80
  4. Step 4: Simplify right side
    18,097.10x = 173,971,041.72
  5. Step 5: Solve for x
    x = 173,971,041.72/18,097.10
  6. Step 6: Final answer
    x = 9,613.20

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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.