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Finding the Fourth Proportional to 23,576.25, 32,535.23 and 12,965.86

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Solution

The fourth proportional to 23,576.25, 32,535.23 and 12,965.86 is: 17,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576.25 : 32,535.23 = 12,965.86 : x
  2. Step 2: Convert to fraction form
    23,576.25/32,535.23 = 12,965.86/x
  3. Step 3: Cross multiply
    23,576.25x = 32,535.23 × 12,965.86
  4. Step 4: Simplify right side
    23,576.25x = 421,847,237.25
  5. Step 5: Solve for x
    x = 421,847,237.25/23,576.25
  6. Step 6: Final answer
    x = 17,892.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.