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Finding the Fourth Proportional to 23,035.80, 31,789.02 and 12,964.24

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Solution

The fourth proportional to 23,035.80, 31,789.02 and 12,964.24 is: 17,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,035.80 : 31,789.02 = 12,964.24 : x
  2. Step 2: Convert to fraction form
    23,035.80/31,789.02 = 12,964.24/x
  3. Step 3: Cross multiply
    23,035.80x = 31,789.02 × 12,964.24
  4. Step 4: Simplify right side
    23,035.80x = 412,120,484.64
  5. Step 5: Solve for x
    x = 412,120,484.64/23,035.80
  6. Step 6: Final answer
    x = 17,890.44

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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.