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Finding the Fourth Proportional to 27,097.62, 40,659.39 and 9,575.70

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Solution

The fourth proportional to 27,097.62, 40,659.39 and 9,575.70 is: 14,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.62 : 40,659.39 = 9,575.70 : x
  2. Step 2: Convert to fraction form
    27,097.62/40,659.39 = 9,575.70/x
  3. Step 3: Cross multiply
    27,097.62x = 40,659.39 × 9,575.70
  4. Step 4: Simplify right side
    27,097.62x = 389,342,120.82
  5. Step 5: Solve for x
    x = 389,342,120.82/27,097.62
  6. Step 6: Final answer
    x = 14,368.13

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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.