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Finding the Fourth Proportional to 23,115.85, 34,667.70 and 8,322.01

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Solution

The fourth proportional to 23,115.85, 34,667.70 and 8,322.01 is: 12,480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.85 : 34,667.70 = 8,322.01 : x
  2. Step 2: Convert to fraction form
    23,115.85/34,667.70 = 8,322.01/x
  3. Step 3: Cross multiply
    23,115.85x = 34,667.70 × 8,322.01
  4. Step 4: Simplify right side
    23,115.85x = 288,504,828.20
  5. Step 5: Solve for x
    x = 288,504,828.20/23,115.85
  6. Step 6: Final answer
    x = 12,480.82

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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.