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Finding the Fourth Proportional to 23,305.84, 32,162.02 and 12,695.46

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Solution

The fourth proportional to 23,305.84, 32,162.02 and 12,695.46 is: 17,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305.84 : 32,162.02 = 12,695.46 : x
  2. Step 2: Convert to fraction form
    23,305.84/32,162.02 = 12,695.46/x
  3. Step 3: Cross multiply
    23,305.84x = 32,162.02 × 12,695.46
  4. Step 4: Simplify right side
    23,305.84x = 408,311,638.43
  5. Step 5: Solve for x
    x = 408,311,638.43/23,305.84
  6. Step 6: Final answer
    x = 17,519.71

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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.