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Finding the Fourth Proportional to 17,627.14, 26,448.78 and 7,634.94

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Solution

The fourth proportional to 17,627.14, 26,448.78 and 7,634.94 is: 11,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.14 : 26,448.78 = 7,634.94 : x
  2. Step 2: Convert to fraction form
    17,627.14/26,448.78 = 7,634.94/x
  3. Step 3: Cross multiply
    17,627.14x = 26,448.78 × 7,634.94
  4. Step 4: Simplify right side
    17,627.14x = 201,934,827.86
  5. Step 5: Solve for x
    x = 201,934,827.86/17,627.14
  6. Step 6: Final answer
    x = 11,455.91

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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.