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Finding the Fourth Proportional to 23,141.77, 34,684.82 and 10,644.57

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Solution

The fourth proportional to 23,141.77, 34,684.82 and 10,644.57 is: 15,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.77 : 34,684.82 = 10,644.57 : x
  2. Step 2: Convert to fraction form
    23,141.77/34,684.82 = 10,644.57/x
  3. Step 3: Cross multiply
    23,141.77x = 34,684.82 × 10,644.57
  4. Step 4: Simplify right side
    23,141.77x = 369,204,821.00
  5. Step 5: Solve for x
    x = 369,204,821.00/23,141.77
  6. Step 6: Final answer
    x = 15,954.05

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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.