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Finding the Fourth Proportional to 23,106.75, 34,667.55 and 9,255.75

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Solution

The fourth proportional to 23,106.75, 34,667.55 and 9,255.75 is: 13,886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.75 : 34,667.55 = 9,255.75 : x
  2. Step 2: Convert to fraction form
    23,106.75/34,667.55 = 9,255.75/x
  3. Step 3: Cross multiply
    23,106.75x = 34,667.55 × 9,255.75
  4. Step 4: Simplify right side
    23,106.75x = 320,874,175.91
  5. Step 5: Solve for x
    x = 320,874,175.91/23,106.75
  6. Step 6: Final answer
    x = 13,886.60

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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.