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Finding the Fourth Proportional to 23,175.37, 34,765.49 and 7,594.21

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Solution

The fourth proportional to 23,175.37, 34,765.49 and 7,594.21 is: 11,392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175.37 : 34,765.49 = 7,594.21 : x
  2. Step 2: Convert to fraction form
    23,175.37/34,765.49 = 7,594.21/x
  3. Step 3: Cross multiply
    23,175.37x = 34,765.49 × 7,594.21
  4. Step 4: Simplify right side
    23,175.37x = 264,016,431.81
  5. Step 5: Solve for x
    x = 264,016,431.81/23,175.37
  6. Step 6: Final answer
    x = 11,392.11

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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.