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Finding the Fourth Proportional to 23,932.70, 35,964.93 and 12,847.58

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Solution

The fourth proportional to 23,932.70, 35,964.93 and 12,847.58 is: 19,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,932.70 : 35,964.93 = 12,847.58 : x
  2. Step 2: Convert to fraction form
    23,932.70/35,964.93 = 12,847.58/x
  3. Step 3: Cross multiply
    23,932.70x = 35,964.93 × 12,847.58
  4. Step 4: Simplify right side
    23,932.70x = 462,062,315.37
  5. Step 5: Solve for x
    x = 462,062,315.37/23,932.70
  6. Step 6: Final answer
    x = 19,306.74

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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.