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Finding the Fourth Proportional to 23,265.81, 32,107.13 and 12,655.44

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Solution

The fourth proportional to 23,265.81, 32,107.13 and 12,655.44 is: 17,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,265.81 : 32,107.13 = 12,655.44 : x
  2. Step 2: Convert to fraction form
    23,265.81/32,107.13 = 12,655.44/x
  3. Step 3: Cross multiply
    23,265.81x = 32,107.13 × 12,655.44
  4. Step 4: Simplify right side
    23,265.81x = 406,329,912.65
  5. Step 5: Solve for x
    x = 406,329,912.65/23,265.81
  6. Step 6: Final answer
    x = 17,464.68

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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.